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Finding the Fourth Proportional to 233.44, 348.32 and 209.20

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Solution

The fourth proportional to 233.44, 348.32 and 209.20 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 348.32 = 209.20 : x
  2. Step 2: Convert to fraction form
    233.44/348.32 = 209.20/x
  3. Step 3: Cross multiply
    233.44x = 348.32 × 209.20
  4. Step 4: Simplify right side
    233.44x = 72,868.54
  5. Step 5: Solve for x
    x = 72,868.54/233.44
  6. Step 6: Final answer
    x = 312.15

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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.