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Finding the Fourth Proportional to 424.02, 584.72 and 284.16

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Solution

The fourth proportional to 424.02, 584.72 and 284.16 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.02 : 584.72 = 284.16 : x
  2. Step 2: Convert to fraction form
    424.02/584.72 = 284.16/x
  3. Step 3: Cross multiply
    424.02x = 584.72 × 284.16
  4. Step 4: Simplify right side
    424.02x = 166,154.04
  5. Step 5: Solve for x
    x = 166,154.04/424.02
  6. Step 6: Final answer
    x = 391.85

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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.