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Finding the Fourth Proportional to 340.58, 469.82 and 200.65

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Solution

The fourth proportional to 340.58, 469.82 and 200.65 is: 276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 469.82 = 200.65 : x
  2. Step 2: Convert to fraction form
    340.58/469.82 = 200.65/x
  3. Step 3: Cross multiply
    340.58x = 469.82 × 200.65
  4. Step 4: Simplify right side
    340.58x = 94,269.38
  5. Step 5: Solve for x
    x = 94,269.38/340.58
  6. Step 6: Final answer
    x = 276.79

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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.