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Finding the Fourth Proportional to 360.24, 542.47 and 315.12

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Solution

The fourth proportional to 360.24, 542.47 and 315.12 is: 474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 542.47 = 315.12 : x
  2. Step 2: Convert to fraction form
    360.24/542.47 = 315.12/x
  3. Step 3: Cross multiply
    360.24x = 542.47 × 315.12
  4. Step 4: Simplify right side
    360.24x = 170,943.15
  5. Step 5: Solve for x
    x = 170,943.15/360.24
  6. Step 6: Final answer
    x = 474.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.