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Finding the Fourth Proportional to 366.70, 549.90 and 174.19

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Solution

The fourth proportional to 366.70, 549.90 and 174.19 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.70 : 549.90 = 174.19 : x
  2. Step 2: Convert to fraction form
    366.70/549.90 = 174.19/x
  3. Step 3: Cross multiply
    366.70x = 549.90 × 174.19
  4. Step 4: Simplify right side
    366.70x = 95,787.08
  5. Step 5: Solve for x
    x = 95,787.08/366.70
  6. Step 6: Final answer
    x = 261.21

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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.