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Finding the Fourth Proportional to 631.80, 871.85 and 366.20

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Solution

The fourth proportional to 631.80, 871.85 and 366.20 is: 505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 871.85 = 366.20 : x
  2. Step 2: Convert to fraction form
    631.80/871.85 = 366.20/x
  3. Step 3: Cross multiply
    631.80x = 871.85 × 366.20
  4. Step 4: Simplify right side
    631.80x = 319,267.11
  5. Step 5: Solve for x
    x = 319,267.11/631.80
  6. Step 6: Final answer
    x = 505.33

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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.