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Finding the Fourth Proportional to 366.59, 549.68 and 278.78

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Solution

The fourth proportional to 366.59, 549.68 and 278.78 is: 418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.59 : 549.68 = 278.78 : x
  2. Step 2: Convert to fraction form
    366.59/549.68 = 278.78/x
  3. Step 3: Cross multiply
    366.59x = 549.68 × 278.78
  4. Step 4: Simplify right side
    366.59x = 153,235.65
  5. Step 5: Solve for x
    x = 153,235.65/366.59
  6. Step 6: Final answer
    x = 418.01

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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.