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Finding the Fourth Proportional to 157.71, 237.48 and 137.67

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Solution

The fourth proportional to 157.71, 237.48 and 137.67 is: 207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.71 : 237.48 = 137.67 : x
  2. Step 2: Convert to fraction form
    157.71/237.48 = 137.67/x
  3. Step 3: Cross multiply
    157.71x = 237.48 × 137.67
  4. Step 4: Simplify right side
    157.71x = 32,693.87
  5. Step 5: Solve for x
    x = 32,693.87/157.71
  6. Step 6: Final answer
    x = 207.30

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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.