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Finding the Fourth Proportional to 378.86, 523.43 and 300.76

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Solution

The fourth proportional to 378.86, 523.43 and 300.76 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 523.43 = 300.76 : x
  2. Step 2: Convert to fraction form
    378.86/523.43 = 300.76/x
  3. Step 3: Cross multiply
    378.86x = 523.43 × 300.76
  4. Step 4: Simplify right side
    378.86x = 157,426.81
  5. Step 5: Solve for x
    x = 157,426.81/378.86
  6. Step 6: Final answer
    x = 415.53

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Find fourth proportional to 189.43, 261.72 and 150.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.