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Finding the Fourth Proportional to 463.12, 694.41 and 138.40

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Solution

The fourth proportional to 463.12, 694.41 and 138.40 is: 207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 694.41 = 138.40 : x
  2. Step 2: Convert to fraction form
    463.12/694.41 = 138.40/x
  3. Step 3: Cross multiply
    463.12x = 694.41 × 138.40
  4. Step 4: Simplify right side
    463.12x = 96,106.34
  5. Step 5: Solve for x
    x = 96,106.34/463.12
  6. Step 6: Final answer
    x = 207.52

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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.