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Finding the Fourth Proportional to 266.52, 398.40 and 230.37

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Solution

The fourth proportional to 266.52, 398.40 and 230.37 is: 344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 398.40 = 230.37 : x
  2. Step 2: Convert to fraction form
    266.52/398.40 = 230.37/x
  3. Step 3: Cross multiply
    266.52x = 398.40 × 230.37
  4. Step 4: Simplify right side
    266.52x = 91,779.41
  5. Step 5: Solve for x
    x = 91,779.41/266.52
  6. Step 6: Final answer
    x = 344.36

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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.