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Finding the Fourth Proportional to 346.42, 478.02 and 199

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Solution

The fourth proportional to 346.42, 478.02 and 199 is: 274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.42 : 478.02 = 199 : x
  2. Step 2: Convert to fraction form
    346.42/478.02 = 199/x
  3. Step 3: Cross multiply
    346.42x = 478.02 × 199
  4. Step 4: Simplify right side
    346.42x = 95,125.98
  5. Step 5: Solve for x
    x = 95,125.98/346.42
  6. Step 6: Final answer
    x = 274.60

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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.