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Finding the Fourth Proportional to 115.04, 173.48 and 106.08

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Solution

The fourth proportional to 115.04, 173.48 and 106.08 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.04 : 173.48 = 106.08 : x
  2. Step 2: Convert to fraction form
    115.04/173.48 = 106.08/x
  3. Step 3: Cross multiply
    115.04x = 173.48 × 106.08
  4. Step 4: Simplify right side
    115.04x = 18,402.76
  5. Step 5: Solve for x
    x = 18,402.76/115.04
  6. Step 6: Final answer
    x = 159.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.