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Finding the Fourth Proportional to 380.78, 570.71 and 175.07

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Solution

The fourth proportional to 380.78, 570.71 and 175.07 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 570.71 = 175.07 : x
  2. Step 2: Convert to fraction form
    380.78/570.71 = 175.07/x
  3. Step 3: Cross multiply
    380.78x = 570.71 × 175.07
  4. Step 4: Simplify right side
    380.78x = 99,910.47
  5. Step 5: Solve for x
    x = 99,910.47/380.78
  6. Step 6: Final answer
    x = 262.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.