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Finding the Fourth Proportional to 157.13, 234.26 and 155.10

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Solution

The fourth proportional to 157.13, 234.26 and 155.10 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 234.26 = 155.10 : x
  2. Step 2: Convert to fraction form
    157.13/234.26 = 155.10/x
  3. Step 3: Cross multiply
    157.13x = 234.26 × 155.10
  4. Step 4: Simplify right side
    157.13x = 36,333.73
  5. Step 5: Solve for x
    x = 36,333.73/157.13
  6. Step 6: Final answer
    x = 231.23

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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.