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Finding the Fourth Proportional to 394.92, 590.12 and 284.70

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Solution

The fourth proportional to 394.92, 590.12 and 284.70 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 590.12 = 284.70 : x
  2. Step 2: Convert to fraction form
    394.92/590.12 = 284.70/x
  3. Step 3: Cross multiply
    394.92x = 590.12 × 284.70
  4. Step 4: Simplify right side
    394.92x = 168,005.74
  5. Step 5: Solve for x
    x = 168,005.74/394.92
  6. Step 6: Final answer
    x = 425.42

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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.