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Finding the Fourth Proportional to 214.71, 294.37 and 210.82

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Solution

The fourth proportional to 214.71, 294.37 and 210.82 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 294.37 = 210.82 : x
  2. Step 2: Convert to fraction form
    214.71/294.37 = 210.82/x
  3. Step 3: Cross multiply
    214.71x = 294.37 × 210.82
  4. Step 4: Simplify right side
    214.71x = 62,057.61
  5. Step 5: Solve for x
    x = 62,057.61/214.71
  6. Step 6: Final answer
    x = 289.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.