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Finding the Fourth Proportional to 296.30, 407.17 and 240.92

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Solution

The fourth proportional to 296.30, 407.17 and 240.92 is: 331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 407.17 = 240.92 : x
  2. Step 2: Convert to fraction form
    296.30/407.17 = 240.92/x
  3. Step 3: Cross multiply
    296.30x = 407.17 × 240.92
  4. Step 4: Simplify right side
    296.30x = 98,095.40
  5. Step 5: Solve for x
    x = 98,095.40/296.30
  6. Step 6: Final answer
    x = 331.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.