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Finding the Fourth Proportional to 172.04, 237.32 and 105.62

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Solution

The fourth proportional to 172.04, 237.32 and 105.62 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 237.32 = 105.62 : x
  2. Step 2: Convert to fraction form
    172.04/237.32 = 105.62/x
  3. Step 3: Cross multiply
    172.04x = 237.32 × 105.62
  4. Step 4: Simplify right side
    172.04x = 25,065.74
  5. Step 5: Solve for x
    x = 25,065.74/172.04
  6. Step 6: Final answer
    x = 145.70

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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.