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Finding the Fourth Proportional to 366.43, 549.26 and 263.66

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Solution

The fourth proportional to 366.43, 549.26 and 263.66 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.43 : 549.26 = 263.66 : x
  2. Step 2: Convert to fraction form
    366.43/549.26 = 263.66/x
  3. Step 3: Cross multiply
    366.43x = 549.26 × 263.66
  4. Step 4: Simplify right side
    366.43x = 144,818.63
  5. Step 5: Solve for x
    x = 144,818.63/366.43
  6. Step 6: Final answer
    x = 395.21

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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.