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Finding the Fourth Proportional to 346.17, 477.48 and 221.97

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Solution

The fourth proportional to 346.17, 477.48 and 221.97 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.17 : 477.48 = 221.97 : x
  2. Step 2: Convert to fraction form
    346.17/477.48 = 221.97/x
  3. Step 3: Cross multiply
    346.17x = 477.48 × 221.97
  4. Step 4: Simplify right side
    346.17x = 105,986.24
  5. Step 5: Solve for x
    x = 105,986.24/346.17
  6. Step 6: Final answer
    x = 306.17

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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.