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Finding the Fourth Proportional to 296.46, 443.01 and 242.40

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Solution

The fourth proportional to 296.46, 443.01 and 242.40 is: 362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 443.01 = 242.40 : x
  2. Step 2: Convert to fraction form
    296.46/443.01 = 242.40/x
  3. Step 3: Cross multiply
    296.46x = 443.01 × 242.40
  4. Step 4: Simplify right side
    296.46x = 107,385.62
  5. Step 5: Solve for x
    x = 107,385.62/296.46
  6. Step 6: Final answer
    x = 362.23

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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.