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Finding the Fourth Proportional to 360.16, 539.75 and 296.80

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Solution

The fourth proportional to 360.16, 539.75 and 296.80 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 539.75 = 296.80 : x
  2. Step 2: Convert to fraction form
    360.16/539.75 = 296.80/x
  3. Step 3: Cross multiply
    360.16x = 539.75 × 296.80
  4. Step 4: Simplify right side
    360.16x = 160,197.80
  5. Step 5: Solve for x
    x = 160,197.80/360.16
  6. Step 6: Final answer
    x = 444.80

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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.