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Finding the Fourth Proportional to 266.52, 399.24 and 138

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Solution

The fourth proportional to 266.52, 399.24 and 138 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 399.24 = 138 : x
  2. Step 2: Convert to fraction form
    266.52/399.24 = 138/x
  3. Step 3: Cross multiply
    266.52x = 399.24 × 138
  4. Step 4: Simplify right side
    266.52x = 55,095.12
  5. Step 5: Solve for x
    x = 55,095.12/266.52
  6. Step 6: Final answer
    x = 206.72

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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.