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Finding the Fourth Proportional to 378.54, 563.63 and 356.00

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Solution

The fourth proportional to 378.54, 563.63 and 356.00 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 563.63 = 356.00 : x
  2. Step 2: Convert to fraction form
    378.54/563.63 = 356.00/x
  3. Step 3: Cross multiply
    378.54x = 563.63 × 356.00
  4. Step 4: Simplify right side
    378.54x = 200,649.80
  5. Step 5: Solve for x
    x = 200,649.80/378.54
  6. Step 6: Final answer
    x = 530.06

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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.