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Finding the Fourth Proportional to 296.30, 443 and 251.16

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Solution

The fourth proportional to 296.30, 443 and 251.16 is: 375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 443 = 251.16 : x
  2. Step 2: Convert to fraction form
    296.30/443 = 251.16/x
  3. Step 3: Cross multiply
    296.30x = 443 × 251.16
  4. Step 4: Simplify right side
    296.30x = 111,263.88
  5. Step 5: Solve for x
    x = 111,263.88/296.30
  6. Step 6: Final answer
    x = 375.51

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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.