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Finding the Fourth Proportional to 233.57, 349.32 and 212.04

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Solution

The fourth proportional to 233.57, 349.32 and 212.04 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 349.32 = 212.04 : x
  2. Step 2: Convert to fraction form
    233.57/349.32 = 212.04/x
  3. Step 3: Cross multiply
    233.57x = 349.32 × 212.04
  4. Step 4: Simplify right side
    233.57x = 74,070.61
  5. Step 5: Solve for x
    x = 74,070.61/233.57
  6. Step 6: Final answer
    x = 317.12

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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.