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Finding the Fourth Proportional to 378.73, 565.44 and 355.56

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Solution

The fourth proportional to 378.73, 565.44 and 355.56 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.73 : 565.44 = 355.56 : x
  2. Step 2: Convert to fraction form
    378.73/565.44 = 355.56/x
  3. Step 3: Cross multiply
    378.73x = 565.44 × 355.56
  4. Step 4: Simplify right side
    378.73x = 201,047.85
  5. Step 5: Solve for x
    x = 201,047.85/378.73
  6. Step 6: Final answer
    x = 530.85

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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.