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Finding the Fourth Proportional to 266.36, 397.27 and 261.75

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Solution

The fourth proportional to 266.36, 397.27 and 261.75 is: 390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 397.27 = 261.75 : x
  2. Step 2: Convert to fraction form
    266.36/397.27 = 261.75/x
  3. Step 3: Cross multiply
    266.36x = 397.27 × 261.75
  4. Step 4: Simplify right side
    266.36x = 103,985.42
  5. Step 5: Solve for x
    x = 103,985.42/266.36
  6. Step 6: Final answer
    x = 390.39

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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.