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Finding the Fourth Proportional to 230.06, 346.68 and 208.40

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Solution

The fourth proportional to 230.06, 346.68 and 208.40 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 346.68 = 208.40 : x
  2. Step 2: Convert to fraction form
    230.06/346.68 = 208.40/x
  3. Step 3: Cross multiply
    230.06x = 346.68 × 208.40
  4. Step 4: Simplify right side
    230.06x = 72,246.38
  5. Step 5: Solve for x
    x = 72,246.38/230.06
  6. Step 6: Final answer
    x = 314.04

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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.