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Finding the Fourth Proportional to 267.51, 398.43 and 257.95

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Solution

The fourth proportional to 267.51, 398.43 and 257.95 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.51 : 398.43 = 257.95 : x
  2. Step 2: Convert to fraction form
    267.51/398.43 = 257.95/x
  3. Step 3: Cross multiply
    267.51x = 398.43 × 257.95
  4. Step 4: Simplify right side
    267.51x = 102,775.02
  5. Step 5: Solve for x
    x = 102,775.02/267.51
  6. Step 6: Final answer
    x = 384.19

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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.