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Finding the Fourth Proportional to 271.68, 409.13 and 237.84

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Solution

The fourth proportional to 271.68, 409.13 and 237.84 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 409.13 = 237.84 : x
  2. Step 2: Convert to fraction form
    271.68/409.13 = 237.84/x
  3. Step 3: Cross multiply
    271.68x = 409.13 × 237.84
  4. Step 4: Simplify right side
    271.68x = 97,306.29
  5. Step 5: Solve for x
    x = 97,306.29/271.68
  6. Step 6: Final answer
    x = 358.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.