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Finding the Fourth Proportional to 417.90, 576.64 and 231.37

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Solution

The fourth proportional to 417.90, 576.64 and 231.37 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 576.64 = 231.37 : x
  2. Step 2: Convert to fraction form
    417.90/576.64 = 231.37/x
  3. Step 3: Cross multiply
    417.90x = 576.64 × 231.37
  4. Step 4: Simplify right side
    417.90x = 133,417.20
  5. Step 5: Solve for x
    x = 133,417.20/417.90
  6. Step 6: Final answer
    x = 319.26

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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.