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Finding the Fourth Proportional to 346.14, 477.54 and 221.88

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Solution

The fourth proportional to 346.14, 477.54 and 221.88 is: 306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 477.54 = 221.88 : x
  2. Step 2: Convert to fraction form
    346.14/477.54 = 221.88/x
  3. Step 3: Cross multiply
    346.14x = 477.54 × 221.88
  4. Step 4: Simplify right side
    346.14x = 105,956.58
  5. Step 5: Solve for x
    x = 105,956.58/346.14
  6. Step 6: Final answer
    x = 306.11

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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.