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Finding the Fourth Proportional to 378.48, 564.45 and 359.40

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Solution

The fourth proportional to 378.48, 564.45 and 359.40 is: 535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 564.45 = 359.40 : x
  2. Step 2: Convert to fraction form
    378.48/564.45 = 359.40/x
  3. Step 3: Cross multiply
    378.48x = 564.45 × 359.40
  4. Step 4: Simplify right side
    378.48x = 202,863.33
  5. Step 5: Solve for x
    x = 202,863.33/378.48
  6. Step 6: Final answer
    x = 535.99

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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.