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Finding the Fourth Proportional to 150.63, 224.85 and 139.68

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Solution

The fourth proportional to 150.63, 224.85 and 139.68 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 224.85 = 139.68 : x
  2. Step 2: Convert to fraction form
    150.63/224.85 = 139.68/x
  3. Step 3: Cross multiply
    150.63x = 224.85 × 139.68
  4. Step 4: Simplify right side
    150.63x = 31,407.05
  5. Step 5: Solve for x
    x = 31,407.05/150.63
  6. Step 6: Final answer
    x = 208.50

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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.