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Finding the Fourth Proportional to 266.76, 397.85 and 230.45

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Solution

The fourth proportional to 266.76, 397.85 and 230.45 is: 343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 397.85 = 230.45 : x
  2. Step 2: Convert to fraction form
    266.76/397.85 = 230.45/x
  3. Step 3: Cross multiply
    266.76x = 397.85 × 230.45
  4. Step 4: Simplify right side
    266.76x = 91,681.39
  5. Step 5: Solve for x
    x = 91,681.39/266.76
  6. Step 6: Final answer
    x = 343.68

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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.