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Finding the Fourth Proportional to 115.57, 172.63 and 97.35

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Solution

The fourth proportional to 115.57, 172.63 and 97.35 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.57 : 172.63 = 97.35 : x
  2. Step 2: Convert to fraction form
    115.57/172.63 = 97.35/x
  3. Step 3: Cross multiply
    115.57x = 172.63 × 97.35
  4. Step 4: Simplify right side
    115.57x = 16,805.53
  5. Step 5: Solve for x
    x = 16,805.53/115.57
  6. Step 6: Final answer
    x = 145.41

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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.