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Finding the Fourth Proportional to 266.66, 397.46 and 253.66

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Solution

The fourth proportional to 266.66, 397.46 and 253.66 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.66 : 397.46 = 253.66 : x
  2. Step 2: Convert to fraction form
    266.66/397.46 = 253.66/x
  3. Step 3: Cross multiply
    266.66x = 397.46 × 253.66
  4. Step 4: Simplify right side
    266.66x = 100,817.72
  5. Step 5: Solve for x
    x = 100,817.72/266.66
  6. Step 6: Final answer
    x = 378.08

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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.