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Finding the Fourth Proportional to 266.16, 398.61 and 212.10

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Solution

The fourth proportional to 266.16, 398.61 and 212.10 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 398.61 = 212.10 : x
  2. Step 2: Convert to fraction form
    266.16/398.61 = 212.10/x
  3. Step 3: Cross multiply
    266.16x = 398.61 × 212.10
  4. Step 4: Simplify right side
    266.16x = 84,545.18
  5. Step 5: Solve for x
    x = 84,545.18/266.16
  6. Step 6: Final answer
    x = 317.65

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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.