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Finding the Fourth Proportional to 150.20, 207.20 and 138.35

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Solution

The fourth proportional to 150.20, 207.20 and 138.35 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 207.20 = 138.35 : x
  2. Step 2: Convert to fraction form
    150.20/207.20 = 138.35/x
  3. Step 3: Cross multiply
    150.20x = 207.20 × 138.35
  4. Step 4: Simplify right side
    150.20x = 28,666.12
  5. Step 5: Solve for x
    x = 28,666.12/150.20
  6. Step 6: Final answer
    x = 190.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.