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Finding the Fourth Proportional to 378.39, 564.05 and 357.87

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Solution

The fourth proportional to 378.39, 564.05 and 357.87 is: 533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 564.05 = 357.87 : x
  2. Step 2: Convert to fraction form
    378.39/564.05 = 357.87/x
  3. Step 3: Cross multiply
    378.39x = 564.05 × 357.87
  4. Step 4: Simplify right side
    378.39x = 201,853.75
  5. Step 5: Solve for x
    x = 201,853.75/378.39
  6. Step 6: Final answer
    x = 533.46

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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.