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Finding the Fourth Proportional to 460.38, 634.80 and 312.75

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Solution

The fourth proportional to 460.38, 634.80 and 312.75 is: 431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 634.80 = 312.75 : x
  2. Step 2: Convert to fraction form
    460.38/634.80 = 312.75/x
  3. Step 3: Cross multiply
    460.38x = 634.80 × 312.75
  4. Step 4: Simplify right side
    460.38x = 198,533.70
  5. Step 5: Solve for x
    x = 198,533.70/460.38
  6. Step 6: Final answer
    x = 431.24

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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.