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Finding the Fourth Proportional to 346.31, 477.84 and 222.08

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Solution

The fourth proportional to 346.31, 477.84 and 222.08 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 477.84 = 222.08 : x
  2. Step 2: Convert to fraction form
    346.31/477.84 = 222.08/x
  3. Step 3: Cross multiply
    346.31x = 477.84 × 222.08
  4. Step 4: Simplify right side
    346.31x = 106,116.32
  5. Step 5: Solve for x
    x = 106,116.32/346.31
  6. Step 6: Final answer
    x = 306.42

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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.