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Finding the Fourth Proportional to 525.55, 726.21 and 351.13

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Solution

The fourth proportional to 525.55, 726.21 and 351.13 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 726.21 = 351.13 : x
  2. Step 2: Convert to fraction form
    525.55/726.21 = 351.13/x
  3. Step 3: Cross multiply
    525.55x = 726.21 × 351.13
  4. Step 4: Simplify right side
    525.55x = 254,990.49
  5. Step 5: Solve for x
    x = 254,990.49/525.55
  6. Step 6: Final answer
    x = 485.19

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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.