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Finding the Fourth Proportional to 145.90, 201.08 and 109.05

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Solution

The fourth proportional to 145.90, 201.08 and 109.05 is: 150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 201.08 = 109.05 : x
  2. Step 2: Convert to fraction form
    145.90/201.08 = 109.05/x
  3. Step 3: Cross multiply
    145.90x = 201.08 × 109.05
  4. Step 4: Simplify right side
    145.90x = 21,927.29
  5. Step 5: Solve for x
    x = 21,927.29/145.90
  6. Step 6: Final answer
    x = 150.29

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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.