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Finding the Fourth Proportional to 266.96, 398.80 and 257.36

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Solution

The fourth proportional to 266.96, 398.80 and 257.36 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 398.80 = 257.36 : x
  2. Step 2: Convert to fraction form
    266.96/398.80 = 257.36/x
  3. Step 3: Cross multiply
    266.96x = 398.80 × 257.36
  4. Step 4: Simplify right side
    266.96x = 102,635.17
  5. Step 5: Solve for x
    x = 102,635.17/266.96
  6. Step 6: Final answer
    x = 384.46

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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.