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Finding the Fourth Proportional to 285.52, 426.18 and 262.72

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Solution

The fourth proportional to 285.52, 426.18 and 262.72 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 426.18 = 262.72 : x
  2. Step 2: Convert to fraction form
    285.52/426.18 = 262.72/x
  3. Step 3: Cross multiply
    285.52x = 426.18 × 262.72
  4. Step 4: Simplify right side
    285.52x = 111,966.01
  5. Step 5: Solve for x
    x = 111,966.01/285.52
  6. Step 6: Final answer
    x = 392.15

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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.