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Finding the Fourth Proportional to 214.14, 296.81 and 210.66

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Solution

The fourth proportional to 214.14, 296.81 and 210.66 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 296.81 = 210.66 : x
  2. Step 2: Convert to fraction form
    214.14/296.81 = 210.66/x
  3. Step 3: Cross multiply
    214.14x = 296.81 × 210.66
  4. Step 4: Simplify right side
    214.14x = 62,524.94
  5. Step 5: Solve for x
    x = 62,524.94/214.14
  6. Step 6: Final answer
    x = 291.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.