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Finding the Fourth Proportional to 346.57, 478.23 and 199.21

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Solution

The fourth proportional to 346.57, 478.23 and 199.21 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.57 : 478.23 = 199.21 : x
  2. Step 2: Convert to fraction form
    346.57/478.23 = 199.21/x
  3. Step 3: Cross multiply
    346.57x = 478.23 × 199.21
  4. Step 4: Simplify right side
    346.57x = 95,268.20
  5. Step 5: Solve for x
    x = 95,268.20/346.57
  6. Step 6: Final answer
    x = 274.89

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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.