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Finding the Fourth Proportional to 285.12, 424.80 and 282.24

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Solution

The fourth proportional to 285.12, 424.80 and 282.24 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 424.80 = 282.24 : x
  2. Step 2: Convert to fraction form
    285.12/424.80 = 282.24/x
  3. Step 3: Cross multiply
    285.12x = 424.80 × 282.24
  4. Step 4: Simplify right side
    285.12x = 119,895.55
  5. Step 5: Solve for x
    x = 119,895.55/285.12
  6. Step 6: Final answer
    x = 420.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.