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Finding the Fourth Proportional to 296.32, 447.16 and 287.20

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Solution

The fourth proportional to 296.32, 447.16 and 287.20 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 447.16 = 287.20 : x
  2. Step 2: Convert to fraction form
    296.32/447.16 = 287.20/x
  3. Step 3: Cross multiply
    296.32x = 447.16 × 287.20
  4. Step 4: Simplify right side
    296.32x = 128,424.35
  5. Step 5: Solve for x
    x = 128,424.35/296.32
  6. Step 6: Final answer
    x = 433.40

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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.