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Finding the Fourth Proportional to 193.91, 290.52 and 152.60

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Solution

The fourth proportional to 193.91, 290.52 and 152.60 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.91 : 290.52 = 152.60 : x
  2. Step 2: Convert to fraction form
    193.91/290.52 = 152.60/x
  3. Step 3: Cross multiply
    193.91x = 290.52 × 152.60
  4. Step 4: Simplify right side
    193.91x = 44,331.90
  5. Step 5: Solve for x
    x = 44,331.90/193.91
  6. Step 6: Final answer
    x = 228.63

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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.