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Finding the Fourth Proportional to 233.28, 348.84 and 172.08

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Solution

The fourth proportional to 233.28, 348.84 and 172.08 is: 257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 348.84 = 172.08 : x
  2. Step 2: Convert to fraction form
    233.28/348.84 = 172.08/x
  3. Step 3: Cross multiply
    233.28x = 348.84 × 172.08
  4. Step 4: Simplify right side
    233.28x = 60,028.39
  5. Step 5: Solve for x
    x = 60,028.39/233.28
  6. Step 6: Final answer
    x = 257.32

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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.