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Finding the Fourth Proportional to 366.90, 550.05 and 264.16

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Solution

The fourth proportional to 366.90, 550.05 and 264.16 is: 396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.90 : 550.05 = 264.16 : x
  2. Step 2: Convert to fraction form
    366.90/550.05 = 264.16/x
  3. Step 3: Cross multiply
    366.90x = 550.05 × 264.16
  4. Step 4: Simplify right side
    366.90x = 145,301.21
  5. Step 5: Solve for x
    x = 145,301.21/366.90
  6. Step 6: Final answer
    x = 396.02

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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.