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Finding the Fourth Proportional to 266.31, 397.22 and 258.21

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Solution

The fourth proportional to 266.31, 397.22 and 258.21 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.31 : 397.22 = 258.21 : x
  2. Step 2: Convert to fraction form
    266.31/397.22 = 258.21/x
  3. Step 3: Cross multiply
    266.31x = 397.22 × 258.21
  4. Step 4: Simplify right side
    266.31x = 102,564.89
  5. Step 5: Solve for x
    x = 102,564.89/266.31
  6. Step 6: Final answer
    x = 385.13

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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.