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Finding the Fourth Proportional to 215.69, 298.10 and 172.49

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Solution

The fourth proportional to 215.69, 298.10 and 172.49 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.69 : 298.10 = 172.49 : x
  2. Step 2: Convert to fraction form
    215.69/298.10 = 172.49/x
  3. Step 3: Cross multiply
    215.69x = 298.10 × 172.49
  4. Step 4: Simplify right side
    215.69x = 51,419.27
  5. Step 5: Solve for x
    x = 51,419.27/215.69
  6. Step 6: Final answer
    x = 238.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.