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Finding the Fourth Proportional to 378.17, 569.84 and 311.20

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Solution

The fourth proportional to 378.17, 569.84 and 311.20 is: 468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.17 : 569.84 = 311.20 : x
  2. Step 2: Convert to fraction form
    378.17/569.84 = 311.20/x
  3. Step 3: Cross multiply
    378.17x = 569.84 × 311.20
  4. Step 4: Simplify right side
    378.17x = 177,334.21
  5. Step 5: Solve for x
    x = 177,334.21/378.17
  6. Step 6: Final answer
    x = 468.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.