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Finding the Fourth Proportional to 138.95, 208.44 and 56.69

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Solution

The fourth proportional to 138.95, 208.44 and 56.69 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.95 : 208.44 = 56.69 : x
  2. Step 2: Convert to fraction form
    138.95/208.44 = 56.69/x
  3. Step 3: Cross multiply
    138.95x = 208.44 × 56.69
  4. Step 4: Simplify right side
    138.95x = 11,816.20
  5. Step 5: Solve for x
    x = 11,816.20/138.95
  6. Step 6: Final answer
    x = 85.04

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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.