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Finding the Fourth Proportional to 229.92, 346.56 and 208.32

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Solution

The fourth proportional to 229.92, 346.56 and 208.32 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 346.56 = 208.32 : x
  2. Step 2: Convert to fraction form
    229.92/346.56 = 208.32/x
  3. Step 3: Cross multiply
    229.92x = 346.56 × 208.32
  4. Step 4: Simplify right side
    229.92x = 72,195.38
  5. Step 5: Solve for x
    x = 72,195.38/229.92
  6. Step 6: Final answer
    x = 314.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.