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Finding the Fourth Proportional to 267.01, 397.91 and 258.31

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Solution

The fourth proportional to 267.01, 397.91 and 258.31 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.01 : 397.91 = 258.31 : x
  2. Step 2: Convert to fraction form
    267.01/397.91 = 258.31/x
  3. Step 3: Cross multiply
    267.01x = 397.91 × 258.31
  4. Step 4: Simplify right side
    267.01x = 102,784.13
  5. Step 5: Solve for x
    x = 102,784.13/267.01
  6. Step 6: Final answer
    x = 384.94

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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.