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Finding the Fourth Proportional to 341.96, 471.74 and 202.06

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Solution

The fourth proportional to 341.96, 471.74 and 202.06 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.96 : 471.74 = 202.06 : x
  2. Step 2: Convert to fraction form
    341.96/471.74 = 202.06/x
  3. Step 3: Cross multiply
    341.96x = 471.74 × 202.06
  4. Step 4: Simplify right side
    341.96x = 95,319.78
  5. Step 5: Solve for x
    x = 95,319.78/341.96
  6. Step 6: Final answer
    x = 278.75

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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.