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Finding the Fourth Proportional to 340.28, 468.84 and 229.64

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Solution

The fourth proportional to 340.28, 468.84 and 229.64 is: 316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.28 : 468.84 = 229.64 : x
  2. Step 2: Convert to fraction form
    340.28/468.84 = 229.64/x
  3. Step 3: Cross multiply
    340.28x = 468.84 × 229.64
  4. Step 4: Simplify right side
    340.28x = 107,664.42
  5. Step 5: Solve for x
    x = 107,664.42/340.28
  6. Step 6: Final answer
    x = 316.40

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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.