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Finding the Fourth Proportional to 157.73, 234.95 and 156.98

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Solution

The fourth proportional to 157.73, 234.95 and 156.98 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.73 : 234.95 = 156.98 : x
  2. Step 2: Convert to fraction form
    157.73/234.95 = 156.98/x
  3. Step 3: Cross multiply
    157.73x = 234.95 × 156.98
  4. Step 4: Simplify right side
    157.73x = 36,882.25
  5. Step 5: Solve for x
    x = 36,882.25/157.73
  6. Step 6: Final answer
    x = 233.84

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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.