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Finding the Fourth Proportional to 233, 349.46 and 70.70

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Solution

The fourth proportional to 233, 349.46 and 70.70 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 349.46 = 70.70 : x
  2. Step 2: Convert to fraction form
    233/349.46 = 70.70/x
  3. Step 3: Cross multiply
    233x = 349.46 × 70.70
  4. Step 4: Simplify right side
    233x = 24,706.82
  5. Step 5: Solve for x
    x = 24,706.82/233
  6. Step 6: Final answer
    x = 106.04

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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.