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Finding the Fourth Proportional to 266.56, 402.08 and 253.12

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Solution

The fourth proportional to 266.56, 402.08 and 253.12 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 402.08 = 253.12 : x
  2. Step 2: Convert to fraction form
    266.56/402.08 = 253.12/x
  3. Step 3: Cross multiply
    266.56x = 402.08 × 253.12
  4. Step 4: Simplify right side
    266.56x = 101,774.49
  5. Step 5: Solve for x
    x = 101,774.49/266.56
  6. Step 6: Final answer
    x = 381.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.