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Finding the Fourth Proportional to 267.16, 397.91 and 263.95

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Solution

The fourth proportional to 267.16, 397.91 and 263.95 is: 393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.16 : 397.91 = 263.95 : x
  2. Step 2: Convert to fraction form
    267.16/397.91 = 263.95/x
  3. Step 3: Cross multiply
    267.16x = 397.91 × 263.95
  4. Step 4: Simplify right side
    267.16x = 105,028.34
  5. Step 5: Solve for x
    x = 105,028.34/267.16
  6. Step 6: Final answer
    x = 393.13

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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.