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Finding the Fourth Proportional to 297.74, 410.71 and 214.67

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Solution

The fourth proportional to 297.74, 410.71 and 214.67 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 410.71 = 214.67 : x
  2. Step 2: Convert to fraction form
    297.74/410.71 = 214.67/x
  3. Step 3: Cross multiply
    297.74x = 410.71 × 214.67
  4. Step 4: Simplify right side
    297.74x = 88,167.12
  5. Step 5: Solve for x
    x = 88,167.12/297.74
  6. Step 6: Final answer
    x = 296.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.