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Finding the Fourth Proportional to 417.69, 576.09 and 319.23

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Solution

The fourth proportional to 417.69, 576.09 and 319.23 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 576.09 = 319.23 : x
  2. Step 2: Convert to fraction form
    417.69/576.09 = 319.23/x
  3. Step 3: Cross multiply
    417.69x = 576.09 × 319.23
  4. Step 4: Simplify right side
    417.69x = 183,905.21
  5. Step 5: Solve for x
    x = 183,905.21/417.69
  6. Step 6: Final answer
    x = 440.29

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Find fourth proportional to 208.85, 288.05 and 159.62
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.