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Finding the Fourth Proportional to 425.92, 587.36 and 278.76

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Solution

The fourth proportional to 425.92, 587.36 and 278.76 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 587.36 = 278.76 : x
  2. Step 2: Convert to fraction form
    425.92/587.36 = 278.76/x
  3. Step 3: Cross multiply
    425.92x = 587.36 × 278.76
  4. Step 4: Simplify right side
    425.92x = 163,732.47
  5. Step 5: Solve for x
    x = 163,732.47/425.92
  6. Step 6: Final answer
    x = 384.42

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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.