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Finding the Fourth Proportional to 157.88, 237.75 and 137.83

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Solution

The fourth proportional to 157.88, 237.75 and 137.83 is: 207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 237.75 = 137.83 : x
  2. Step 2: Convert to fraction form
    157.88/237.75 = 137.83/x
  3. Step 3: Cross multiply
    157.88x = 237.75 × 137.83
  4. Step 4: Simplify right side
    157.88x = 32,769.08
  5. Step 5: Solve for x
    x = 32,769.08/157.88
  6. Step 6: Final answer
    x = 207.56

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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.