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Finding the Fourth Proportional to 542.24, 815.00 and 360.74

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Solution

The fourth proportional to 542.24, 815.00 and 360.74 is: 542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 815.00 = 360.74 : x
  2. Step 2: Convert to fraction form
    542.24/815.00 = 360.74/x
  3. Step 3: Cross multiply
    542.24x = 815.00 × 360.74
  4. Step 4: Simplify right side
    542.24x = 293,999.93
  5. Step 5: Solve for x
    x = 293,999.93/542.24
  6. Step 6: Final answer
    x = 542.20

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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.