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Finding the Fourth Proportional to 435.80, 600.82 and 342.18

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Solution

The fourth proportional to 435.80, 600.82 and 342.18 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.80 : 600.82 = 342.18 : x
  2. Step 2: Convert to fraction form
    435.80/600.82 = 342.18/x
  3. Step 3: Cross multiply
    435.80x = 600.82 × 342.18
  4. Step 4: Simplify right side
    435.80x = 205,587.73
  5. Step 5: Solve for x
    x = 205,587.73/435.80
  6. Step 6: Final answer
    x = 471.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.