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Finding the Fourth Proportional to 267.17, 397.59 and 258.41

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Solution

The fourth proportional to 267.17, 397.59 and 258.41 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.17 : 397.59 = 258.41 : x
  2. Step 2: Convert to fraction form
    267.17/397.59 = 258.41/x
  3. Step 3: Cross multiply
    267.17x = 397.59 × 258.41
  4. Step 4: Simplify right side
    267.17x = 102,739.24
  5. Step 5: Solve for x
    x = 102,739.24/267.17
  6. Step 6: Final answer
    x = 384.55

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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.