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Finding the Fourth Proportional to 157.35, 234.38 and 156.61

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Solution

The fourth proportional to 157.35, 234.38 and 156.61 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.35 : 234.38 = 156.61 : x
  2. Step 2: Convert to fraction form
    157.35/234.38 = 156.61/x
  3. Step 3: Cross multiply
    157.35x = 234.38 × 156.61
  4. Step 4: Simplify right side
    157.35x = 36,706.06
  5. Step 5: Solve for x
    x = 36,706.06/157.35
  6. Step 6: Final answer
    x = 233.28

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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.