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Finding the Fourth Proportional to 169.10, 253.70 and 71.55

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Solution

The fourth proportional to 169.10, 253.70 and 71.55 is: 107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.10 : 253.70 = 71.55 : x
  2. Step 2: Convert to fraction form
    169.10/253.70 = 71.55/x
  3. Step 3: Cross multiply
    169.10x = 253.70 × 71.55
  4. Step 4: Simplify right side
    169.10x = 18,151.23
  5. Step 5: Solve for x
    x = 18,151.23/169.10
  6. Step 6: Final answer
    x = 107.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.