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Finding the Fourth Proportional to 174.81, 262.21 and 53.07

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Solution

The fourth proportional to 174.81, 262.21 and 53.07 is: 79.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 262.21 = 53.07 : x
  2. Step 2: Convert to fraction form
    174.81/262.21 = 53.07/x
  3. Step 3: Cross multiply
    174.81x = 262.21 × 53.07
  4. Step 4: Simplify right side
    174.81x = 13,915.35
  5. Step 5: Solve for x
    x = 13,915.35/174.81
  6. Step 6: Final answer
    x = 79.60

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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.