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Finding the Fourth Proportional to 435.28, 650.40 and 297.16

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Solution

The fourth proportional to 435.28, 650.40 and 297.16 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.28 : 650.40 = 297.16 : x
  2. Step 2: Convert to fraction form
    435.28/650.40 = 297.16/x
  3. Step 3: Cross multiply
    435.28x = 650.40 × 297.16
  4. Step 4: Simplify right side
    435.28x = 193,272.86
  5. Step 5: Solve for x
    x = 193,272.86/435.28
  6. Step 6: Final answer
    x = 444.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.