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Finding the Fourth Proportional to 266.63, 400.14 and 95.63

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Solution

The fourth proportional to 266.63, 400.14 and 95.63 is: 143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 400.14 = 95.63 : x
  2. Step 2: Convert to fraction form
    266.63/400.14 = 95.63/x
  3. Step 3: Cross multiply
    266.63x = 400.14 × 95.63
  4. Step 4: Simplify right side
    266.63x = 38,263.39
  5. Step 5: Solve for x
    x = 38,263.39/266.63
  6. Step 6: Final answer
    x = 143.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.