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Finding the Fourth Proportional to 266.42, 401.21 and 232.58

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Solution

The fourth proportional to 266.42, 401.21 and 232.58 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.42 : 401.21 = 232.58 : x
  2. Step 2: Convert to fraction form
    266.42/401.21 = 232.58/x
  3. Step 3: Cross multiply
    266.42x = 401.21 × 232.58
  4. Step 4: Simplify right side
    266.42x = 93,314.13
  5. Step 5: Solve for x
    x = 93,314.13/266.42
  6. Step 6: Final answer
    x = 350.25

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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.