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Finding the Fourth Proportional to 152.56, 229.95 and 136.90

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Solution

The fourth proportional to 152.56, 229.95 and 136.90 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 229.95 = 136.90 : x
  2. Step 2: Convert to fraction form
    152.56/229.95 = 136.90/x
  3. Step 3: Cross multiply
    152.56x = 229.95 × 136.90
  4. Step 4: Simplify right side
    152.56x = 31,480.16
  5. Step 5: Solve for x
    x = 31,480.16/152.56
  6. Step 6: Final answer
    x = 206.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.