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Finding the Fourth Proportional to 157.40, 234.96 and 146.14

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Solution

The fourth proportional to 157.40, 234.96 and 146.14 is: 218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 234.96 = 146.14 : x
  2. Step 2: Convert to fraction form
    157.40/234.96 = 146.14/x
  3. Step 3: Cross multiply
    157.40x = 234.96 × 146.14
  4. Step 4: Simplify right side
    157.40x = 34,337.05
  5. Step 5: Solve for x
    x = 34,337.05/157.40
  6. Step 6: Final answer
    x = 218.15

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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.