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Finding the Fourth Proportional to 165.78, 247.50 and 156.42

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Solution

The fourth proportional to 165.78, 247.50 and 156.42 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 247.50 = 156.42 : x
  2. Step 2: Convert to fraction form
    165.78/247.50 = 156.42/x
  3. Step 3: Cross multiply
    165.78x = 247.50 × 156.42
  4. Step 4: Simplify right side
    165.78x = 38,713.95
  5. Step 5: Solve for x
    x = 38,713.95/165.78
  6. Step 6: Final answer
    x = 233.53

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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.