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Finding the Fourth Proportional to 378.39, 569.67 and 296.56

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Solution

The fourth proportional to 378.39, 569.67 and 296.56 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 569.67 = 296.56 : x
  2. Step 2: Convert to fraction form
    378.39/569.67 = 296.56/x
  3. Step 3: Cross multiply
    378.39x = 569.67 × 296.56
  4. Step 4: Simplify right side
    378.39x = 168,941.34
  5. Step 5: Solve for x
    x = 168,941.34/378.39
  6. Step 6: Final answer
    x = 446.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.