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Finding the Fourth Proportional to 346.64, 478.30 and 222.32

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Solution

The fourth proportional to 346.64, 478.30 and 222.32 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 478.30 = 222.32 : x
  2. Step 2: Convert to fraction form
    346.64/478.30 = 222.32/x
  3. Step 3: Cross multiply
    346.64x = 478.30 × 222.32
  4. Step 4: Simplify right side
    346.64x = 106,335.66
  5. Step 5: Solve for x
    x = 106,335.66/346.64
  6. Step 6: Final answer
    x = 306.76

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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.