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Finding the Fourth Proportional to 233.35, 348.30 and 206.31

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Solution

The fourth proportional to 233.35, 348.30 and 206.31 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.35 : 348.30 = 206.31 : x
  2. Step 2: Convert to fraction form
    233.35/348.30 = 206.31/x
  3. Step 3: Cross multiply
    233.35x = 348.30 × 206.31
  4. Step 4: Simplify right side
    233.35x = 71,859.08
  5. Step 5: Solve for x
    x = 71,859.08/233.35
  6. Step 6: Final answer
    x = 307.95

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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.