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Finding the Fourth Proportional to 378.77, 564.99 and 335.03

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Solution

The fourth proportional to 378.77, 564.99 and 335.03 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 564.99 = 335.03 : x
  2. Step 2: Convert to fraction form
    378.77/564.99 = 335.03/x
  3. Step 3: Cross multiply
    378.77x = 564.99 × 335.03
  4. Step 4: Simplify right side
    378.77x = 189,285.77
  5. Step 5: Solve for x
    x = 189,285.77/378.77
  6. Step 6: Final answer
    x = 499.74

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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.