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Finding the Fourth Proportional to 296.16, 446.40 and 280.32

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Solution

The fourth proportional to 296.16, 446.40 and 280.32 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 446.40 = 280.32 : x
  2. Step 2: Convert to fraction form
    296.16/446.40 = 280.32/x
  3. Step 3: Cross multiply
    296.16x = 446.40 × 280.32
  4. Step 4: Simplify right side
    296.16x = 125,134.85
  5. Step 5: Solve for x
    x = 125,134.85/296.16
  6. Step 6: Final answer
    x = 422.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.