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Finding the Fourth Proportional to 285.72, 426.42 and 253.32

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Solution

The fourth proportional to 285.72, 426.42 and 253.32 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 426.42 = 253.32 : x
  2. Step 2: Convert to fraction form
    285.72/426.42 = 253.32/x
  3. Step 3: Cross multiply
    285.72x = 426.42 × 253.32
  4. Step 4: Simplify right side
    285.72x = 108,020.71
  5. Step 5: Solve for x
    x = 108,020.71/285.72
  6. Step 6: Final answer
    x = 378.06

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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.