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Finding the Fourth Proportional to 296.56, 409.24 and 172.24

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Solution

The fourth proportional to 296.56, 409.24 and 172.24 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 409.24 = 172.24 : x
  2. Step 2: Convert to fraction form
    296.56/409.24 = 172.24/x
  3. Step 3: Cross multiply
    296.56x = 409.24 × 172.24
  4. Step 4: Simplify right side
    296.56x = 70,487.50
  5. Step 5: Solve for x
    x = 70,487.50/296.56
  6. Step 6: Final answer
    x = 237.68

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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.