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Finding the Fourth Proportional to 378.46, 566.78 and 313.05

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Solution

The fourth proportional to 378.46, 566.78 and 313.05 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 566.78 = 313.05 : x
  2. Step 2: Convert to fraction form
    378.46/566.78 = 313.05/x
  3. Step 3: Cross multiply
    378.46x = 566.78 × 313.05
  4. Step 4: Simplify right side
    378.46x = 177,430.48
  5. Step 5: Solve for x
    x = 177,430.48/378.46
  6. Step 6: Final answer
    x = 468.82

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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.