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Finding the Fourth Proportional to 266.90, 398.42 and 234.50

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Solution

The fourth proportional to 266.90, 398.42 and 234.50 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 398.42 = 234.50 : x
  2. Step 2: Convert to fraction form
    266.90/398.42 = 234.50/x
  3. Step 3: Cross multiply
    266.90x = 398.42 × 234.50
  4. Step 4: Simplify right side
    266.90x = 93,429.49
  5. Step 5: Solve for x
    x = 93,429.49/266.90
  6. Step 6: Final answer
    x = 350.05

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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.