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Finding the Fourth Proportional to 157, 234.40 and 134.19

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Solution

The fourth proportional to 157, 234.40 and 134.19 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157 : 234.40 = 134.19 : x
  2. Step 2: Convert to fraction form
    157/234.40 = 134.19/x
  3. Step 3: Cross multiply
    157x = 234.40 × 134.19
  4. Step 4: Simplify right side
    157x = 31,454.14
  5. Step 5: Solve for x
    x = 31,454.14/157
  6. Step 6: Final answer
    x = 200.34

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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.