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Finding the Fourth Proportional to 148.94, 205.55 and 92.92

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Solution

The fourth proportional to 148.94, 205.55 and 92.92 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.94 : 205.55 = 92.92 : x
  2. Step 2: Convert to fraction form
    148.94/205.55 = 92.92/x
  3. Step 3: Cross multiply
    148.94x = 205.55 × 92.92
  4. Step 4: Simplify right side
    148.94x = 19,099.71
  5. Step 5: Solve for x
    x = 19,099.71/148.94
  6. Step 6: Final answer
    x = 128.24

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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.