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Finding the Fourth Proportional to 546.19, 752.69 and 349.36

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Solution

The fourth proportional to 546.19, 752.69 and 349.36 is: 481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 752.69 = 349.36 : x
  2. Step 2: Convert to fraction form
    546.19/752.69 = 349.36/x
  3. Step 3: Cross multiply
    546.19x = 752.69 × 349.36
  4. Step 4: Simplify right side
    546.19x = 262,958.77
  5. Step 5: Solve for x
    x = 262,958.77/546.19
  6. Step 6: Final answer
    x = 481.44

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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.