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Finding the Fourth Proportional to 426.73, 640.12 and 152.85

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Solution

The fourth proportional to 426.73, 640.12 and 152.85 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.73 : 640.12 = 152.85 : x
  2. Step 2: Convert to fraction form
    426.73/640.12 = 152.85/x
  3. Step 3: Cross multiply
    426.73x = 640.12 × 152.85
  4. Step 4: Simplify right side
    426.73x = 97,842.34
  5. Step 5: Solve for x
    x = 97,842.34/426.73
  6. Step 6: Final answer
    x = 229.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.