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Finding the Fourth Proportional to 145.68, 200.91 and 106.29

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Solution

The fourth proportional to 145.68, 200.91 and 106.29 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 200.91 = 106.29 : x
  2. Step 2: Convert to fraction form
    145.68/200.91 = 106.29/x
  3. Step 3: Cross multiply
    145.68x = 200.91 × 106.29
  4. Step 4: Simplify right side
    145.68x = 21,355.12
  5. Step 5: Solve for x
    x = 21,355.12/145.68
  6. Step 6: Final answer
    x = 146.59

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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.