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Finding the Fourth Proportional to 360.10, 539.88 and 143.83

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Solution

The fourth proportional to 360.10, 539.88 and 143.83 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 539.88 = 143.83 : x
  2. Step 2: Convert to fraction form
    360.10/539.88 = 143.83/x
  3. Step 3: Cross multiply
    360.10x = 539.88 × 143.83
  4. Step 4: Simplify right side
    360.10x = 77,650.94
  5. Step 5: Solve for x
    x = 77,650.94/360.10
  6. Step 6: Final answer
    x = 215.64

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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.