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Finding the Fourth Proportional to 353.84, 484.90 and 319.28

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Solution

The fourth proportional to 353.84, 484.90 and 319.28 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 484.90 = 319.28 : x
  2. Step 2: Convert to fraction form
    353.84/484.90 = 319.28/x
  3. Step 3: Cross multiply
    353.84x = 484.90 × 319.28
  4. Step 4: Simplify right side
    353.84x = 154,818.87
  5. Step 5: Solve for x
    x = 154,818.87/353.84
  6. Step 6: Final answer
    x = 437.54

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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.