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Finding the Fourth Proportional to 360.47, 540.08 and 257.24

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Solution

The fourth proportional to 360.47, 540.08 and 257.24 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 540.08 = 257.24 : x
  2. Step 2: Convert to fraction form
    360.47/540.08 = 257.24/x
  3. Step 3: Cross multiply
    360.47x = 540.08 × 257.24
  4. Step 4: Simplify right side
    360.47x = 138,926.19
  5. Step 5: Solve for x
    x = 138,926.19/360.47
  6. Step 6: Final answer
    x = 385.41

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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.