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Finding the Fourth Proportional to 378.54, 565.52 and 347.76

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Solution

The fourth proportional to 378.54, 565.52 and 347.76 is: 519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 565.52 = 347.76 : x
  2. Step 2: Convert to fraction form
    378.54/565.52 = 347.76/x
  3. Step 3: Cross multiply
    378.54x = 565.52 × 347.76
  4. Step 4: Simplify right side
    378.54x = 196,663.50
  5. Step 5: Solve for x
    x = 196,663.50/378.54
  6. Step 6: Final answer
    x = 519.53

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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.