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Finding the Fourth Proportional to 172.18, 237.42 and 147.70

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Solution

The fourth proportional to 172.18, 237.42 and 147.70 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.18 : 237.42 = 147.70 : x
  2. Step 2: Convert to fraction form
    172.18/237.42 = 147.70/x
  3. Step 3: Cross multiply
    172.18x = 237.42 × 147.70
  4. Step 4: Simplify right side
    172.18x = 35,066.93
  5. Step 5: Solve for x
    x = 35,066.93/172.18
  6. Step 6: Final answer
    x = 203.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.