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Finding the Fourth Proportional to 157.50, 237.47 and 125.82

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Solution

The fourth proportional to 157.50, 237.47 and 125.82 is: 189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 237.47 = 125.82 : x
  2. Step 2: Convert to fraction form
    157.50/237.47 = 125.82/x
  3. Step 3: Cross multiply
    157.50x = 237.47 × 125.82
  4. Step 4: Simplify right side
    157.50x = 29,877.85
  5. Step 5: Solve for x
    x = 29,877.85/157.50
  6. Step 6: Final answer
    x = 189.70

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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.