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Finding the Fourth Proportional to 145.80, 201.15 and 106.92

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Solution

The fourth proportional to 145.80, 201.15 and 106.92 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 201.15 = 106.92 : x
  2. Step 2: Convert to fraction form
    145.80/201.15 = 106.92/x
  3. Step 3: Cross multiply
    145.80x = 201.15 × 106.92
  4. Step 4: Simplify right side
    145.80x = 21,506.96
  5. Step 5: Solve for x
    x = 21,506.96/145.80
  6. Step 6: Final answer
    x = 147.51

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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.