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Finding the Fourth Proportional to 378.69, 570.07 and 339

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Solution

The fourth proportional to 378.69, 570.07 and 339 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 570.07 = 339 : x
  2. Step 2: Convert to fraction form
    378.69/570.07 = 339/x
  3. Step 3: Cross multiply
    378.69x = 570.07 × 339
  4. Step 4: Simplify right side
    378.69x = 193,253.73
  5. Step 5: Solve for x
    x = 193,253.73/378.69
  6. Step 6: Final answer
    x = 510.32

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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.