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Finding the Fourth Proportional to 378.01, 563.71 and 364.34

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Solution

The fourth proportional to 378.01, 563.71 and 364.34 is: 543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.01 : 563.71 = 364.34 : x
  2. Step 2: Convert to fraction form
    378.01/563.71 = 364.34/x
  3. Step 3: Cross multiply
    378.01x = 563.71 × 364.34
  4. Step 4: Simplify right side
    378.01x = 205,382.10
  5. Step 5: Solve for x
    x = 205,382.10/378.01
  6. Step 6: Final answer
    x = 543.32

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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.