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Finding the Fourth Proportional to 157.52, 234.95 and 135.60

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Solution

The fourth proportional to 157.52, 234.95 and 135.60 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 234.95 = 135.60 : x
  2. Step 2: Convert to fraction form
    157.52/234.95 = 135.60/x
  3. Step 3: Cross multiply
    157.52x = 234.95 × 135.60
  4. Step 4: Simplify right side
    157.52x = 31,859.22
  5. Step 5: Solve for x
    x = 31,859.22/157.52
  6. Step 6: Final answer
    x = 202.26

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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.