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Finding the Fourth Proportional to 174.95, 262.42 and 53.21

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Solution

The fourth proportional to 174.95, 262.42 and 53.21 is: 79.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.95 : 262.42 = 53.21 : x
  2. Step 2: Convert to fraction form
    174.95/262.42 = 53.21/x
  3. Step 3: Cross multiply
    174.95x = 262.42 × 53.21
  4. Step 4: Simplify right side
    174.95x = 13,963.37
  5. Step 5: Solve for x
    x = 13,963.37/174.95
  6. Step 6: Final answer
    x = 79.81

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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.