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Finding the Fourth Proportional to 267.50, 400.61 and 130.21

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Solution

The fourth proportional to 267.50, 400.61 and 130.21 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 400.61 = 130.21 : x
  2. Step 2: Convert to fraction form
    267.50/400.61 = 130.21/x
  3. Step 3: Cross multiply
    267.50x = 400.61 × 130.21
  4. Step 4: Simplify right side
    267.50x = 52,160.77
  5. Step 5: Solve for x
    x = 52,160.77/267.50
  6. Step 6: Final answer
    x = 194.99

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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.