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Finding the Fourth Proportional to 284.47, 426.63 and 138.14

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Solution

The fourth proportional to 284.47, 426.63 and 138.14 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.47 : 426.63 = 138.14 : x
  2. Step 2: Convert to fraction form
    284.47/426.63 = 138.14/x
  3. Step 3: Cross multiply
    284.47x = 426.63 × 138.14
  4. Step 4: Simplify right side
    284.47x = 58,933.88
  5. Step 5: Solve for x
    x = 58,933.88/284.47
  6. Step 6: Final answer
    x = 207.17

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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.