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Finding the Fourth Proportional to 296.90, 445.20 and 114.28

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Solution

The fourth proportional to 296.90, 445.20 and 114.28 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.90 : 445.20 = 114.28 : x
  2. Step 2: Convert to fraction form
    296.90/445.20 = 114.28/x
  3. Step 3: Cross multiply
    296.90x = 445.20 × 114.28
  4. Step 4: Simplify right side
    296.90x = 50,877.46
  5. Step 5: Solve for x
    x = 50,877.46/296.90
  6. Step 6: Final answer
    x = 171.36

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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.