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Finding the Fourth Proportional to 306.52, 460.14 and 214.84

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Solution

The fourth proportional to 306.52, 460.14 and 214.84 is: 322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 460.14 = 214.84 : x
  2. Step 2: Convert to fraction form
    306.52/460.14 = 214.84/x
  3. Step 3: Cross multiply
    306.52x = 460.14 × 214.84
  4. Step 4: Simplify right side
    306.52x = 98,856.48
  5. Step 5: Solve for x
    x = 98,856.48/306.52
  6. Step 6: Final answer
    x = 322.51

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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.