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Finding the Fourth Proportional to 348.96, 477.72 and 346.56

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Solution

The fourth proportional to 348.96, 477.72 and 346.56 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 477.72 = 346.56 : x
  2. Step 2: Convert to fraction form
    348.96/477.72 = 346.56/x
  3. Step 3: Cross multiply
    348.96x = 477.72 × 346.56
  4. Step 4: Simplify right side
    348.96x = 165,558.64
  5. Step 5: Solve for x
    x = 165,558.64/348.96
  6. Step 6: Final answer
    x = 474.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.