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Finding the Fourth Proportional to 425.16, 638.00 and 178.35

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Solution

The fourth proportional to 425.16, 638.00 and 178.35 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 638.00 = 178.35 : x
  2. Step 2: Convert to fraction form
    425.16/638.00 = 178.35/x
  3. Step 3: Cross multiply
    425.16x = 638.00 × 178.35
  4. Step 4: Simplify right side
    425.16x = 113,784.61
  5. Step 5: Solve for x
    x = 113,784.61/425.16
  6. Step 6: Final answer
    x = 267.62

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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.