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Finding the Fourth Proportional to 229.47, 342.55 and 212.57

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Solution

The fourth proportional to 229.47, 342.55 and 212.57 is: 317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 342.55 = 212.57 : x
  2. Step 2: Convert to fraction form
    229.47/342.55 = 212.57/x
  3. Step 3: Cross multiply
    229.47x = 342.55 × 212.57
  4. Step 4: Simplify right side
    229.47x = 72,815.85
  5. Step 5: Solve for x
    x = 72,815.85/229.47
  6. Step 6: Final answer
    x = 317.32

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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.