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Finding the Fourth Proportional to 360.06, 542.88 and 288.78

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Solution

The fourth proportional to 360.06, 542.88 and 288.78 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.06 : 542.88 = 288.78 : x
  2. Step 2: Convert to fraction form
    360.06/542.88 = 288.78/x
  3. Step 3: Cross multiply
    360.06x = 542.88 × 288.78
  4. Step 4: Simplify right side
    360.06x = 156,772.89
  5. Step 5: Solve for x
    x = 156,772.89/360.06
  6. Step 6: Final answer
    x = 435.41

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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.