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Finding the Fourth Proportional to 115.04, 172.32 and 97.82

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Solution

The fourth proportional to 115.04, 172.32 and 97.82 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.04 : 172.32 = 97.82 : x
  2. Step 2: Convert to fraction form
    115.04/172.32 = 97.82/x
  3. Step 3: Cross multiply
    115.04x = 172.32 × 97.82
  4. Step 4: Simplify right side
    115.04x = 16,856.34
  5. Step 5: Solve for x
    x = 16,856.34/115.04
  6. Step 6: Final answer
    x = 146.53

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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.