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Finding the Fourth Proportional to 233.16, 347.86 and 212.24

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Solution

The fourth proportional to 233.16, 347.86 and 212.24 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 347.86 = 212.24 : x
  2. Step 2: Convert to fraction form
    233.16/347.86 = 212.24/x
  3. Step 3: Cross multiply
    233.16x = 347.86 × 212.24
  4. Step 4: Simplify right side
    233.16x = 73,829.81
  5. Step 5: Solve for x
    x = 73,829.81/233.16
  6. Step 6: Final answer
    x = 316.65

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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.