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Finding the Fourth Proportional to 378.44, 567.76 and 313.13

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Solution

The fourth proportional to 378.44, 567.76 and 313.13 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 567.76 = 313.13 : x
  2. Step 2: Convert to fraction form
    378.44/567.76 = 313.13/x
  3. Step 3: Cross multiply
    378.44x = 567.76 × 313.13
  4. Step 4: Simplify right side
    378.44x = 177,782.69
  5. Step 5: Solve for x
    x = 177,782.69/378.44
  6. Step 6: Final answer
    x = 469.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.