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Finding the Fourth Proportional to 237.59, 355.74 and 172.23

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Solution

The fourth proportional to 237.59, 355.74 and 172.23 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.59 : 355.74 = 172.23 : x
  2. Step 2: Convert to fraction form
    237.59/355.74 = 172.23/x
  3. Step 3: Cross multiply
    237.59x = 355.74 × 172.23
  4. Step 4: Simplify right side
    237.59x = 61,269.10
  5. Step 5: Solve for x
    x = 61,269.10/237.59
  6. Step 6: Final answer
    x = 257.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.