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Finding the Fourth Proportional to 425.84, 638.76 and 151.94

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Solution

The fourth proportional to 425.84, 638.76 and 151.94 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.84 : 638.76 = 151.94 : x
  2. Step 2: Convert to fraction form
    425.84/638.76 = 151.94/x
  3. Step 3: Cross multiply
    425.84x = 638.76 × 151.94
  4. Step 4: Simplify right side
    425.84x = 97,053.19
  5. Step 5: Solve for x
    x = 97,053.19/425.84
  6. Step 6: Final answer
    x = 227.91

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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.