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Finding the Fourth Proportional to 138.68, 208.00 and 52.01

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Solution

The fourth proportional to 138.68, 208.00 and 52.01 is: 78.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 208.00 = 52.01 : x
  2. Step 2: Convert to fraction form
    138.68/208.00 = 52.01/x
  3. Step 3: Cross multiply
    138.68x = 208.00 × 52.01
  4. Step 4: Simplify right side
    138.68x = 10,816.78
  5. Step 5: Solve for x
    x = 10,816.78/138.68
  6. Step 6: Final answer
    x = 78.00

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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.