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Finding the Fourth Proportional to 378, 569.88 and 358.14

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Solution

The fourth proportional to 378, 569.88 and 358.14 is: 539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 569.88 = 358.14 : x
  2. Step 2: Convert to fraction form
    378/569.88 = 358.14/x
  3. Step 3: Cross multiply
    378x = 569.88 × 358.14
  4. Step 4: Simplify right side
    378x = 204,096.82
  5. Step 5: Solve for x
    x = 204,096.82/378
  6. Step 6: Final answer
    x = 539.94

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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.