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Finding the Fourth Proportional to 309.14, 462.53 and 172.29

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Solution

The fourth proportional to 309.14, 462.53 and 172.29 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 462.53 = 172.29 : x
  2. Step 2: Convert to fraction form
    309.14/462.53 = 172.29/x
  3. Step 3: Cross multiply
    309.14x = 462.53 × 172.29
  4. Step 4: Simplify right side
    309.14x = 79,689.29
  5. Step 5: Solve for x
    x = 79,689.29/309.14
  6. Step 6: Final answer
    x = 257.78

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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.