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Finding the Fourth Proportional to 266.19, 397.65 and 212.14

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Solution

The fourth proportional to 266.19, 397.65 and 212.14 is: 316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.19 : 397.65 = 212.14 : x
  2. Step 2: Convert to fraction form
    266.19/397.65 = 212.14/x
  3. Step 3: Cross multiply
    266.19x = 397.65 × 212.14
  4. Step 4: Simplify right side
    266.19x = 84,357.47
  5. Step 5: Solve for x
    x = 84,357.47/266.19
  6. Step 6: Final answer
    x = 316.91

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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.