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Finding the Fourth Proportional to 426.34, 588.45 and 278.71

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Solution

The fourth proportional to 426.34, 588.45 and 278.71 is: 384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.34 : 588.45 = 278.71 : x
  2. Step 2: Convert to fraction form
    426.34/588.45 = 278.71/x
  3. Step 3: Cross multiply
    426.34x = 588.45 × 278.71
  4. Step 4: Simplify right side
    426.34x = 164,006.90
  5. Step 5: Solve for x
    x = 164,006.90/426.34
  6. Step 6: Final answer
    x = 384.69

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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.