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Finding the Fourth Proportional to 266.88, 402.56 and 258.24

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Solution

The fourth proportional to 266.88, 402.56 and 258.24 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 402.56 = 258.24 : x
  2. Step 2: Convert to fraction form
    266.88/402.56 = 258.24/x
  3. Step 3: Cross multiply
    266.88x = 402.56 × 258.24
  4. Step 4: Simplify right side
    266.88x = 103,957.09
  5. Step 5: Solve for x
    x = 103,957.09/266.88
  6. Step 6: Final answer
    x = 389.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.