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Finding the Fourth Proportional to 460.18, 634.23 and 319.85

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Solution

The fourth proportional to 460.18, 634.23 and 319.85 is: 440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 634.23 = 319.85 : x
  2. Step 2: Convert to fraction form
    460.18/634.23 = 319.85/x
  3. Step 3: Cross multiply
    460.18x = 634.23 × 319.85
  4. Step 4: Simplify right side
    460.18x = 202,857.67
  5. Step 5: Solve for x
    x = 202,857.67/460.18
  6. Step 6: Final answer
    x = 440.82

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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.