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Finding the Fourth Proportional to 539.95, 810.05 and 296.41

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Solution

The fourth proportional to 539.95, 810.05 and 296.41 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.95 : 810.05 = 296.41 : x
  2. Step 2: Convert to fraction form
    539.95/810.05 = 296.41/x
  3. Step 3: Cross multiply
    539.95x = 810.05 × 296.41
  4. Step 4: Simplify right side
    539.95x = 240,106.92
  5. Step 5: Solve for x
    x = 240,106.92/539.95
  6. Step 6: Final answer
    x = 444.68

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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.