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Finding the Fourth Proportional to 296.41, 443.98 and 142.10

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Solution

The fourth proportional to 296.41, 443.98 and 142.10 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.41 : 443.98 = 142.10 : x
  2. Step 2: Convert to fraction form
    296.41/443.98 = 142.10/x
  3. Step 3: Cross multiply
    296.41x = 443.98 × 142.10
  4. Step 4: Simplify right side
    296.41x = 63,091.68
  5. Step 5: Solve for x
    x = 63,091.68/296.41
  6. Step 6: Final answer
    x = 212.85

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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.