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Finding the Fourth Proportional to 378.86, 565.63 and 355.68

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Solution

The fourth proportional to 378.86, 565.63 and 355.68 is: 531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 565.63 = 355.68 : x
  2. Step 2: Convert to fraction form
    378.86/565.63 = 355.68/x
  3. Step 3: Cross multiply
    378.86x = 565.63 × 355.68
  4. Step 4: Simplify right side
    378.86x = 201,182.39
  5. Step 5: Solve for x
    x = 201,182.39/378.86
  6. Step 6: Final answer
    x = 531.03

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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.