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Finding the Fourth Proportional to 274.19, 409.32 and 237.74

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Solution

The fourth proportional to 274.19, 409.32 and 237.74 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 409.32 = 237.74 : x
  2. Step 2: Convert to fraction form
    274.19/409.32 = 237.74/x
  3. Step 3: Cross multiply
    274.19x = 409.32 × 237.74
  4. Step 4: Simplify right side
    274.19x = 97,309.69
  5. Step 5: Solve for x
    x = 97,309.69/274.19
  6. Step 6: Final answer
    x = 354.91

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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.