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Finding the Fourth Proportional to 248.38, 374.57 and 224.98

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Solution

The fourth proportional to 248.38, 374.57 and 224.98 is: 339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.38 : 374.57 = 224.98 : x
  2. Step 2: Convert to fraction form
    248.38/374.57 = 224.98/x
  3. Step 3: Cross multiply
    248.38x = 374.57 × 224.98
  4. Step 4: Simplify right side
    248.38x = 84,270.76
  5. Step 5: Solve for x
    x = 84,270.76/248.38
  6. Step 6: Final answer
    x = 339.28

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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.