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Finding the Fourth Proportional to 157.41, 217.08 and 113.67

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Solution

The fourth proportional to 157.41, 217.08 and 113.67 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.41 : 217.08 = 113.67 : x
  2. Step 2: Convert to fraction form
    157.41/217.08 = 113.67/x
  3. Step 3: Cross multiply
    157.41x = 217.08 × 113.67
  4. Step 4: Simplify right side
    157.41x = 24,675.48
  5. Step 5: Solve for x
    x = 24,675.48/157.41
  6. Step 6: Final answer
    x = 156.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.