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Finding the Fourth Proportional to 378.14, 569.93 and 378.14

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Solution

The fourth proportional to 378.14, 569.93 and 378.14 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 569.93 = 378.14 : x
  2. Step 2: Convert to fraction form
    378.14/569.93 = 378.14/x
  3. Step 3: Cross multiply
    378.14x = 569.93 × 378.14
  4. Step 4: Simplify right side
    378.14x = 215,508.59
  5. Step 5: Solve for x
    x = 215,508.59/378.14
  6. Step 6: Final answer
    x = 569.93

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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.