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Finding the Fourth Proportional to 310.50, 467.55 and 224.42

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Solution

The fourth proportional to 310.50, 467.55 and 224.42 is: 337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 467.55 = 224.42 : x
  2. Step 2: Convert to fraction form
    310.50/467.55 = 224.42/x
  3. Step 3: Cross multiply
    310.50x = 467.55 × 224.42
  4. Step 4: Simplify right side
    310.50x = 104,927.57
  5. Step 5: Solve for x
    x = 104,927.57/310.50
  6. Step 6: Final answer
    x = 337.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.