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Finding the Fourth Proportional to 460.04, 634.89 and 263.57

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Solution

The fourth proportional to 460.04, 634.89 and 263.57 is: 363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 634.89 = 263.57 : x
  2. Step 2: Convert to fraction form
    460.04/634.89 = 263.57/x
  3. Step 3: Cross multiply
    460.04x = 634.89 × 263.57
  4. Step 4: Simplify right side
    460.04x = 167,337.96
  5. Step 5: Solve for x
    x = 167,337.96/460.04
  6. Step 6: Final answer
    x = 363.75

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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.