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Finding the Fourth Proportional to 285.12, 424.94 and 282.74

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Solution

The fourth proportional to 285.12, 424.94 and 282.74 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 424.94 = 282.74 : x
  2. Step 2: Convert to fraction form
    285.12/424.94 = 282.74/x
  3. Step 3: Cross multiply
    285.12x = 424.94 × 282.74
  4. Step 4: Simplify right side
    285.12x = 120,144.00
  5. Step 5: Solve for x
    x = 120,144.00/285.12
  6. Step 6: Final answer
    x = 421.38

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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.