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Finding the Fourth Proportional to 309.26, 462.72 and 172.42

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Solution

The fourth proportional to 309.26, 462.72 and 172.42 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 462.72 = 172.42 : x
  2. Step 2: Convert to fraction form
    309.26/462.72 = 172.42/x
  3. Step 3: Cross multiply
    309.26x = 462.72 × 172.42
  4. Step 4: Simplify right side
    309.26x = 79,782.18
  5. Step 5: Solve for x
    x = 79,782.18/309.26
  6. Step 6: Final answer
    x = 257.98

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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.