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Finding the Fourth Proportional to 226.64, 314.19 and 214.32

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Solution

The fourth proportional to 226.64, 314.19 and 214.32 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.64 : 314.19 = 214.32 : x
  2. Step 2: Convert to fraction form
    226.64/314.19 = 214.32/x
  3. Step 3: Cross multiply
    226.64x = 314.19 × 214.32
  4. Step 4: Simplify right side
    226.64x = 67,337.20
  5. Step 5: Solve for x
    x = 67,337.20/226.64
  6. Step 6: Final answer
    x = 297.11

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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.