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Finding the Fourth Proportional to 251.40, 375.19 and 224.07

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Solution

The fourth proportional to 251.40, 375.19 and 224.07 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 375.19 = 224.07 : x
  2. Step 2: Convert to fraction form
    251.40/375.19 = 224.07/x
  3. Step 3: Cross multiply
    251.40x = 375.19 × 224.07
  4. Step 4: Simplify right side
    251.40x = 84,066.86
  5. Step 5: Solve for x
    x = 84,066.86/251.40
  6. Step 6: Final answer
    x = 334.39

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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.