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Finding the Fourth Proportional to 360.54, 542.07 and 288.90

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Solution

The fourth proportional to 360.54, 542.07 and 288.90 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 542.07 = 288.90 : x
  2. Step 2: Convert to fraction form
    360.54/542.07 = 288.90/x
  3. Step 3: Cross multiply
    360.54x = 542.07 × 288.90
  4. Step 4: Simplify right side
    360.54x = 156,604.02
  5. Step 5: Solve for x
    x = 156,604.02/360.54
  6. Step 6: Final answer
    x = 434.36

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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.