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Finding the Fourth Proportional to 539.55, 809.74 and 214.95

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Solution

The fourth proportional to 539.55, 809.74 and 214.95 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.55 : 809.74 = 214.95 : x
  2. Step 2: Convert to fraction form
    539.55/809.74 = 214.95/x
  3. Step 3: Cross multiply
    539.55x = 809.74 × 214.95
  4. Step 4: Simplify right side
    539.55x = 174,053.61
  5. Step 5: Solve for x
    x = 174,053.61/539.55
  6. Step 6: Final answer
    x = 322.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.