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Finding the Fourth Proportional to 149.36, 222.77 and 140.93

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Solution

The fourth proportional to 149.36, 222.77 and 140.93 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 222.77 = 140.93 : x
  2. Step 2: Convert to fraction form
    149.36/222.77 = 140.93/x
  3. Step 3: Cross multiply
    149.36x = 222.77 × 140.93
  4. Step 4: Simplify right side
    149.36x = 31,393.16
  5. Step 5: Solve for x
    x = 31,393.16/149.36
  6. Step 6: Final answer
    x = 210.19

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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.