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Finding the Fourth Proportional to 149.02, 205.64 and 83.51

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Solution

The fourth proportional to 149.02, 205.64 and 83.51 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 205.64 = 83.51 : x
  2. Step 2: Convert to fraction form
    149.02/205.64 = 83.51/x
  3. Step 3: Cross multiply
    149.02x = 205.64 × 83.51
  4. Step 4: Simplify right side
    149.02x = 17,172.58
  5. Step 5: Solve for x
    x = 17,172.58/149.02
  6. Step 6: Final answer
    x = 115.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.