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Finding the Fourth Proportional to 266.81, 397.90 and 237.32

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Solution

The fourth proportional to 266.81, 397.90 and 237.32 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 397.90 = 237.32 : x
  2. Step 2: Convert to fraction form
    266.81/397.90 = 237.32/x
  3. Step 3: Cross multiply
    266.81x = 397.90 × 237.32
  4. Step 4: Simplify right side
    266.81x = 94,427.05
  5. Step 5: Solve for x
    x = 94,427.05/266.81
  6. Step 6: Final answer
    x = 353.91

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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.