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Finding the Fourth Proportional to 435.27, 651.75 and 280.35

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Solution

The fourth proportional to 435.27, 651.75 and 280.35 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.27 : 651.75 = 280.35 : x
  2. Step 2: Convert to fraction form
    435.27/651.75 = 280.35/x
  3. Step 3: Cross multiply
    435.27x = 651.75 × 280.35
  4. Step 4: Simplify right side
    435.27x = 182,718.11
  5. Step 5: Solve for x
    x = 182,718.11/435.27
  6. Step 6: Final answer
    x = 419.78

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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.