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Finding the Fourth Proportional to 266.40, 397.80 and 230.40

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Solution

The fourth proportional to 266.40, 397.80 and 230.40 is: 344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 397.80 = 230.40 : x
  2. Step 2: Convert to fraction form
    266.40/397.80 = 230.40/x
  3. Step 3: Cross multiply
    266.40x = 397.80 × 230.40
  4. Step 4: Simplify right side
    266.40x = 91,653.12
  5. Step 5: Solve for x
    x = 91,653.12/266.40
  6. Step 6: Final answer
    x = 344.04

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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.