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Finding the Fourth Proportional to 233.36, 348.60 and 172.61

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Solution

The fourth proportional to 233.36, 348.60 and 172.61 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 348.60 = 172.61 : x
  2. Step 2: Convert to fraction form
    233.36/348.60 = 172.61/x
  3. Step 3: Cross multiply
    233.36x = 348.60 × 172.61
  4. Step 4: Simplify right side
    233.36x = 60,172.56
  5. Step 5: Solve for x
    x = 60,172.56/233.36
  6. Step 6: Final answer
    x = 257.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.