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Finding the Fourth Proportional to 346.31, 478.00 and 199.02

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Solution

The fourth proportional to 346.31, 478.00 and 199.02 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 478.00 = 199.02 : x
  2. Step 2: Convert to fraction form
    346.31/478.00 = 199.02/x
  3. Step 3: Cross multiply
    346.31x = 478.00 × 199.02
  4. Step 4: Simplify right side
    346.31x = 95,133.60
  5. Step 5: Solve for x
    x = 95,133.60/346.31
  6. Step 6: Final answer
    x = 274.71

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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.