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Finding the Fourth Proportional to 368.90, 552.95 and 173.78

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Solution

The fourth proportional to 368.90, 552.95 and 173.78 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.90 : 552.95 = 173.78 : x
  2. Step 2: Convert to fraction form
    368.90/552.95 = 173.78/x
  3. Step 3: Cross multiply
    368.90x = 552.95 × 173.78
  4. Step 4: Simplify right side
    368.90x = 96,092.09
  5. Step 5: Solve for x
    x = 96,092.09/368.90
  6. Step 6: Final answer
    x = 260.48

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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.