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Finding the Fourth Proportional to 265.44, 366.16 and 206.40

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Solution

The fourth proportional to 265.44, 366.16 and 206.40 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 366.16 = 206.40 : x
  2. Step 2: Convert to fraction form
    265.44/366.16 = 206.40/x
  3. Step 3: Cross multiply
    265.44x = 366.16 × 206.40
  4. Step 4: Simplify right side
    265.44x = 75,575.42
  5. Step 5: Solve for x
    x = 75,575.42/265.44
  6. Step 6: Final answer
    x = 284.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.