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Finding the Fourth Proportional to 378.48, 563.14 and 377.22

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Solution

The fourth proportional to 378.48, 563.14 and 377.22 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 563.14 = 377.22 : x
  2. Step 2: Convert to fraction form
    378.48/563.14 = 377.22/x
  3. Step 3: Cross multiply
    378.48x = 563.14 × 377.22
  4. Step 4: Simplify right side
    378.48x = 212,427.67
  5. Step 5: Solve for x
    x = 212,427.67/378.48
  6. Step 6: Final answer
    x = 561.27

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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.