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Finding the Fourth Proportional to 362.68, 544.12 and 271.55

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Solution

The fourth proportional to 362.68, 544.12 and 271.55 is: 407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 544.12 = 271.55 : x
  2. Step 2: Convert to fraction form
    362.68/544.12 = 271.55/x
  3. Step 3: Cross multiply
    362.68x = 544.12 × 271.55
  4. Step 4: Simplify right side
    362.68x = 147,756.47
  5. Step 5: Solve for x
    x = 147,756.47/362.68
  6. Step 6: Final answer
    x = 407.40

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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.