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Finding the Fourth Proportional to 525.55, 725.23 and 292.69

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Solution

The fourth proportional to 525.55, 725.23 and 292.69 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 725.23 = 292.69 : x
  2. Step 2: Convert to fraction form
    525.55/725.23 = 292.69/x
  3. Step 3: Cross multiply
    525.55x = 725.23 × 292.69
  4. Step 4: Simplify right side
    525.55x = 212,267.57
  5. Step 5: Solve for x
    x = 212,267.57/525.55
  6. Step 6: Final answer
    x = 403.90

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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.