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Finding the Fourth Proportional to 193.10, 290.98 and 174.87

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Solution

The fourth proportional to 193.10, 290.98 and 174.87 is: 263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 290.98 = 174.87 : x
  2. Step 2: Convert to fraction form
    193.10/290.98 = 174.87/x
  3. Step 3: Cross multiply
    193.10x = 290.98 × 174.87
  4. Step 4: Simplify right side
    193.10x = 50,883.67
  5. Step 5: Solve for x
    x = 50,883.67/193.10
  6. Step 6: Final answer
    x = 263.52

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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.