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Finding the Fourth Proportional to 378.49, 564.52 and 335.66

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Solution

The fourth proportional to 378.49, 564.52 and 335.66 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 564.52 = 335.66 : x
  2. Step 2: Convert to fraction form
    378.49/564.52 = 335.66/x
  3. Step 3: Cross multiply
    378.49x = 564.52 × 335.66
  4. Step 4: Simplify right side
    378.49x = 189,486.78
  5. Step 5: Solve for x
    x = 189,486.78/378.49
  6. Step 6: Final answer
    x = 500.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.