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Finding the Fourth Proportional to 150.48, 224.63 and 139.82

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Solution

The fourth proportional to 150.48, 224.63 and 139.82 is: 208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.48 : 224.63 = 139.82 : x
  2. Step 2: Convert to fraction form
    150.48/224.63 = 139.82/x
  3. Step 3: Cross multiply
    150.48x = 224.63 × 139.82
  4. Step 4: Simplify right side
    150.48x = 31,405.94
  5. Step 5: Solve for x
    x = 31,405.94/150.48
  6. Step 6: Final answer
    x = 208.71

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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.