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Finding the Fourth Proportional to 366.25, 549.30 and 106.19

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Solution

The fourth proportional to 366.25, 549.30 and 106.19 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.25 : 549.30 = 106.19 : x
  2. Step 2: Convert to fraction form
    366.25/549.30 = 106.19/x
  3. Step 3: Cross multiply
    366.25x = 549.30 × 106.19
  4. Step 4: Simplify right side
    366.25x = 58,330.17
  5. Step 5: Solve for x
    x = 58,330.17/366.25
  6. Step 6: Final answer
    x = 159.26

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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.