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Finding the Fourth Proportional to 240.68, 362.44 and 172.68

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Solution

The fourth proportional to 240.68, 362.44 and 172.68 is: 260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.68 : 362.44 = 172.68 : x
  2. Step 2: Convert to fraction form
    240.68/362.44 = 172.68/x
  3. Step 3: Cross multiply
    240.68x = 362.44 × 172.68
  4. Step 4: Simplify right side
    240.68x = 62,586.03
  5. Step 5: Solve for x
    x = 62,586.03/240.68
  6. Step 6: Final answer
    x = 260.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.