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Finding the Fourth Proportional to 242.90, 335.30 and 172.97

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Solution

The fourth proportional to 242.90, 335.30 and 172.97 is: 238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 335.30 = 172.97 : x
  2. Step 2: Convert to fraction form
    242.90/335.30 = 172.97/x
  3. Step 3: Cross multiply
    242.90x = 335.30 × 172.97
  4. Step 4: Simplify right side
    242.90x = 57,994.30
  5. Step 5: Solve for x
    x = 57,994.30/242.90
  6. Step 6: Final answer
    x = 238.76

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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.