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Finding the Fourth Proportional to 378.78, 565.40 and 351.68

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Solution

The fourth proportional to 378.78, 565.40 and 351.68 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 565.40 = 351.68 : x
  2. Step 2: Convert to fraction form
    378.78/565.40 = 351.68/x
  3. Step 3: Cross multiply
    378.78x = 565.40 × 351.68
  4. Step 4: Simplify right side
    378.78x = 198,835.29
  5. Step 5: Solve for x
    x = 198,835.29/378.78
  6. Step 6: Final answer
    x = 524.94

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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.