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Finding the Fourth Proportional to 610.82, 916.22 and 172.10

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Solution

The fourth proportional to 610.82, 916.22 and 172.10 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 916.22 = 172.10 : x
  2. Step 2: Convert to fraction form
    610.82/916.22 = 172.10/x
  3. Step 3: Cross multiply
    610.82x = 916.22 × 172.10
  4. Step 4: Simplify right side
    610.82x = 157,676.02
  5. Step 5: Solve for x
    x = 157,676.02/610.82
  6. Step 6: Final answer
    x = 258.14

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Similar ratio
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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.