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Finding the Fourth Proportional to 149, 205.64 and 90.77

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Solution

The fourth proportional to 149, 205.64 and 90.77 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 205.64 = 90.77 : x
  2. Step 2: Convert to fraction form
    149/205.64 = 90.77/x
  3. Step 3: Cross multiply
    149x = 205.64 × 90.77
  4. Step 4: Simplify right side
    149x = 18,665.49
  5. Step 5: Solve for x
    x = 18,665.49/149
  6. Step 6: Final answer
    x = 125.27

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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.