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Finding the Fourth Proportional to 285.32, 422.72 and 282.08

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Solution

The fourth proportional to 285.32, 422.72 and 282.08 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 422.72 = 282.08 : x
  2. Step 2: Convert to fraction form
    285.32/422.72 = 282.08/x
  3. Step 3: Cross multiply
    285.32x = 422.72 × 282.08
  4. Step 4: Simplify right side
    285.32x = 119,240.86
  5. Step 5: Solve for x
    x = 119,240.86/285.32
  6. Step 6: Final answer
    x = 417.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.