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Finding the Fourth Proportional to 525.11, 724.66 and 292.23

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Solution

The fourth proportional to 525.11, 724.66 and 292.23 is: 403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.11 : 724.66 = 292.23 : x
  2. Step 2: Convert to fraction form
    525.11/724.66 = 292.23/x
  3. Step 3: Cross multiply
    525.11x = 724.66 × 292.23
  4. Step 4: Simplify right side
    525.11x = 211,766.66
  5. Step 5: Solve for x
    x = 211,766.66/525.11
  6. Step 6: Final answer
    x = 403.28

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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.