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Finding the Fourth Proportional to 285.23, 392.82 and 284.42

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Solution

The fourth proportional to 285.23, 392.82 and 284.42 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 392.82 = 284.42 : x
  2. Step 2: Convert to fraction form
    285.23/392.82 = 284.42/x
  3. Step 3: Cross multiply
    285.23x = 392.82 × 284.42
  4. Step 4: Simplify right side
    285.23x = 111,725.86
  5. Step 5: Solve for x
    x = 111,725.86/285.23
  6. Step 6: Final answer
    x = 391.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.