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Finding the Fourth Proportional to 267.15, 398.66 and 264.86

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Solution

The fourth proportional to 267.15, 398.66 and 264.86 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.15 : 398.66 = 264.86 : x
  2. Step 2: Convert to fraction form
    267.15/398.66 = 264.86/x
  3. Step 3: Cross multiply
    267.15x = 398.66 × 264.86
  4. Step 4: Simplify right side
    267.15x = 105,585.77
  5. Step 5: Solve for x
    x = 105,585.77/267.15
  6. Step 6: Final answer
    x = 395.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.