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Finding the Fourth Proportional to 138.64, 207.76 and 99.94

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Solution

The fourth proportional to 138.64, 207.76 and 99.94 is: 149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.64 : 207.76 = 99.94 : x
  2. Step 2: Convert to fraction form
    138.64/207.76 = 99.94/x
  3. Step 3: Cross multiply
    138.64x = 207.76 × 99.94
  4. Step 4: Simplify right side
    138.64x = 20,762.77
  5. Step 5: Solve for x
    x = 20,762.77/138.64
  6. Step 6: Final answer
    x = 149.76

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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.