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Finding the Fourth Proportional to 341.78, 471.62 and 199.98

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Solution

The fourth proportional to 341.78, 471.62 and 199.98 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 471.62 = 199.98 : x
  2. Step 2: Convert to fraction form
    341.78/471.62 = 199.98/x
  3. Step 3: Cross multiply
    341.78x = 471.62 × 199.98
  4. Step 4: Simplify right side
    341.78x = 94,314.57
  5. Step 5: Solve for x
    x = 94,314.57/341.78
  6. Step 6: Final answer
    x = 275.95

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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.