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Finding the Fourth Proportional to 115.72, 172.57 and 114.70

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Solution

The fourth proportional to 115.72, 172.57 and 114.70 is: 171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 172.57 = 114.70 : x
  2. Step 2: Convert to fraction form
    115.72/172.57 = 114.70/x
  3. Step 3: Cross multiply
    115.72x = 172.57 × 114.70
  4. Step 4: Simplify right side
    115.72x = 19,792.77
  5. Step 5: Solve for x
    x = 19,792.77/115.72
  6. Step 6: Final answer
    x = 171.04

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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.