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Finding the Fourth Proportional to 150.27, 207.38 and 84.78

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Solution

The fourth proportional to 150.27, 207.38 and 84.78 is: 117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 207.38 = 84.78 : x
  2. Step 2: Convert to fraction form
    150.27/207.38 = 84.78/x
  3. Step 3: Cross multiply
    150.27x = 207.38 × 84.78
  4. Step 4: Simplify right side
    150.27x = 17,581.68
  5. Step 5: Solve for x
    x = 17,581.68/150.27
  6. Step 6: Final answer
    x = 117.00

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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.