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Finding the Fourth Proportional to 229.46, 342.51 and 212.54

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Solution

The fourth proportional to 229.46, 342.51 and 212.54 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.46 : 342.51 = 212.54 : x
  2. Step 2: Convert to fraction form
    229.46/342.51 = 212.54/x
  3. Step 3: Cross multiply
    229.46x = 342.51 × 212.54
  4. Step 4: Simplify right side
    229.46x = 72,795.76
  5. Step 5: Solve for x
    x = 72,795.76/229.46
  6. Step 6: Final answer
    x = 317.26

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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.