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Finding the Fourth Proportional to 233.34, 348.35 and 211.81

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Solution

The fourth proportional to 233.34, 348.35 and 211.81 is: 316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 348.35 = 211.81 : x
  2. Step 2: Convert to fraction form
    233.34/348.35 = 211.81/x
  3. Step 3: Cross multiply
    233.34x = 348.35 × 211.81
  4. Step 4: Simplify right side
    233.34x = 73,784.01
  5. Step 5: Solve for x
    x = 73,784.01/233.34
  6. Step 6: Final answer
    x = 316.21

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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.