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Finding the Fourth Proportional to 360.88, 540.51 and 325.24

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Solution

The fourth proportional to 360.88, 540.51 and 325.24 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 540.51 = 325.24 : x
  2. Step 2: Convert to fraction form
    360.88/540.51 = 325.24/x
  3. Step 3: Cross multiply
    360.88x = 540.51 × 325.24
  4. Step 4: Simplify right side
    360.88x = 175,795.47
  5. Step 5: Solve for x
    x = 175,795.47/360.88
  6. Step 6: Final answer
    x = 487.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.