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Finding the Fourth Proportional to 145.86, 201.30 and 108.05

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Solution

The fourth proportional to 145.86, 201.30 and 108.05 is: 149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 201.30 = 108.05 : x
  2. Step 2: Convert to fraction form
    145.86/201.30 = 108.05/x
  3. Step 3: Cross multiply
    145.86x = 201.30 × 108.05
  4. Step 4: Simplify right side
    145.86x = 21,750.62
  5. Step 5: Solve for x
    x = 21,750.62/145.86
  6. Step 6: Final answer
    x = 149.12

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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.