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Finding the Fourth Proportional to 152.30, 227.22 and 138.85

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Solution

The fourth proportional to 152.30, 227.22 and 138.85 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 227.22 = 138.85 : x
  2. Step 2: Convert to fraction form
    152.30/227.22 = 138.85/x
  3. Step 3: Cross multiply
    152.30x = 227.22 × 138.85
  4. Step 4: Simplify right side
    152.30x = 31,549.50
  5. Step 5: Solve for x
    x = 31,549.50/152.30
  6. Step 6: Final answer
    x = 207.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.