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Finding the Fourth Proportional to 157.35, 234.47 and 141.20

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Solution

The fourth proportional to 157.35, 234.47 and 141.20 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.35 : 234.47 = 141.20 : x
  2. Step 2: Convert to fraction form
    157.35/234.47 = 141.20/x
  3. Step 3: Cross multiply
    157.35x = 234.47 × 141.20
  4. Step 4: Simplify right side
    157.35x = 33,105.29
  5. Step 5: Solve for x
    x = 33,105.29/157.35
  6. Step 6: Final answer
    x = 210.39

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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.