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Finding the Fourth Proportional to 233.80, 348.65 and 205.04

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Solution

The fourth proportional to 233.80, 348.65 and 205.04 is: 305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.80 : 348.65 = 205.04 : x
  2. Step 2: Convert to fraction form
    233.80/348.65 = 205.04/x
  3. Step 3: Cross multiply
    233.80x = 348.65 × 205.04
  4. Step 4: Simplify right side
    233.80x = 71,487.20
  5. Step 5: Solve for x
    x = 71,487.20/233.80
  6. Step 6: Final answer
    x = 305.77

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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.