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Finding the Fourth Proportional to 266.56, 397.59 and 258.46

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Solution

The fourth proportional to 266.56, 397.59 and 258.46 is: 385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 397.59 = 258.46 : x
  2. Step 2: Convert to fraction form
    266.56/397.59 = 258.46/x
  3. Step 3: Cross multiply
    266.56x = 397.59 × 258.46
  4. Step 4: Simplify right side
    266.56x = 102,761.11
  5. Step 5: Solve for x
    x = 102,761.11/266.56
  6. Step 6: Final answer
    x = 385.51

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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.