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Finding the Fourth Proportional to 228.12, 314.49 and 214.75

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Solution

The fourth proportional to 228.12, 314.49 and 214.75 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 314.49 = 214.75 : x
  2. Step 2: Convert to fraction form
    228.12/314.49 = 214.75/x
  3. Step 3: Cross multiply
    228.12x = 314.49 × 214.75
  4. Step 4: Simplify right side
    228.12x = 67,536.73
  5. Step 5: Solve for x
    x = 67,536.73/228.12
  6. Step 6: Final answer
    x = 296.06

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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.