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Finding the Fourth Proportional to 157.66, 235.10 and 154.17

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Solution

The fourth proportional to 157.66, 235.10 and 154.17 is: 229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 235.10 = 154.17 : x
  2. Step 2: Convert to fraction form
    157.66/235.10 = 154.17/x
  3. Step 3: Cross multiply
    157.66x = 235.10 × 154.17
  4. Step 4: Simplify right side
    157.66x = 36,244.60
  5. Step 5: Solve for x
    x = 36,244.60/157.66
  6. Step 6: Final answer
    x = 229.90

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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.