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Finding the Fourth Proportional to 343.55, 474.10 and 201.80

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Solution

The fourth proportional to 343.55, 474.10 and 201.80 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 474.10 = 201.80 : x
  2. Step 2: Convert to fraction form
    343.55/474.10 = 201.80/x
  3. Step 3: Cross multiply
    343.55x = 474.10 × 201.80
  4. Step 4: Simplify right side
    343.55x = 95,670.51
  5. Step 5: Solve for x
    x = 95,670.51/343.55
  6. Step 6: Final answer
    x = 278.47

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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.