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Finding the Fourth Proportional to 233.88, 348.88 and 209.58

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Solution

The fourth proportional to 233.88, 348.88 and 209.58 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 348.88 = 209.58 : x
  2. Step 2: Convert to fraction form
    233.88/348.88 = 209.58/x
  3. Step 3: Cross multiply
    233.88x = 348.88 × 209.58
  4. Step 4: Simplify right side
    233.88x = 73,118.27
  5. Step 5: Solve for x
    x = 73,118.27/233.88
  6. Step 6: Final answer
    x = 312.63

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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.