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Finding the Fourth Proportional to 157.54, 234.99 and 154.66

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Solution

The fourth proportional to 157.54, 234.99 and 154.66 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.54 : 234.99 = 154.66 : x
  2. Step 2: Convert to fraction form
    157.54/234.99 = 154.66/x
  3. Step 3: Cross multiply
    157.54x = 234.99 × 154.66
  4. Step 4: Simplify right side
    157.54x = 36,343.55
  5. Step 5: Solve for x
    x = 36,343.55/157.54
  6. Step 6: Final answer
    x = 230.69

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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.