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Finding the Fourth Proportional to 417.48, 576.24 and 284.88

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Solution

The fourth proportional to 417.48, 576.24 and 284.88 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.48 : 576.24 = 284.88 : x
  2. Step 2: Convert to fraction form
    417.48/576.24 = 284.88/x
  3. Step 3: Cross multiply
    417.48x = 576.24 × 284.88
  4. Step 4: Simplify right side
    417.48x = 164,159.25
  5. Step 5: Solve for x
    x = 164,159.25/417.48
  6. Step 6: Final answer
    x = 393.21

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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.