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Finding the Fourth Proportional to 425.90, 588.01 and 278.78

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Solution

The fourth proportional to 425.90, 588.01 and 278.78 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.90 : 588.01 = 278.78 : x
  2. Step 2: Convert to fraction form
    425.90/588.01 = 278.78/x
  3. Step 3: Cross multiply
    425.90x = 588.01 × 278.78
  4. Step 4: Simplify right side
    425.90x = 163,925.43
  5. Step 5: Solve for x
    x = 163,925.43/425.90
  6. Step 6: Final answer
    x = 384.90

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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.