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Finding the Fourth Proportional to 138.23, 207.25 and 46.87

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Solution

The fourth proportional to 138.23, 207.25 and 46.87 is: 70.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 207.25 = 46.87 : x
  2. Step 2: Convert to fraction form
    138.23/207.25 = 46.87/x
  3. Step 3: Cross multiply
    138.23x = 207.25 × 46.87
  4. Step 4: Simplify right side
    138.23x = 9,714.42
  5. Step 5: Solve for x
    x = 9,714.42/138.23
  6. Step 6: Final answer
    x = 70.28

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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.