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Finding the Fourth Proportional to 157.53, 235.18 and 134.25

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Solution

The fourth proportional to 157.53, 235.18 and 134.25 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.53 : 235.18 = 134.25 : x
  2. Step 2: Convert to fraction form
    157.53/235.18 = 134.25/x
  3. Step 3: Cross multiply
    157.53x = 235.18 × 134.25
  4. Step 4: Simplify right side
    157.53x = 31,572.92
  5. Step 5: Solve for x
    x = 31,572.92/157.53
  6. Step 6: Final answer
    x = 200.42

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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.