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Finding the Fourth Proportional to 145.12, 218.44 and 132.16

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Solution

The fourth proportional to 145.12, 218.44 and 132.16 is: 198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 218.44 = 132.16 : x
  2. Step 2: Convert to fraction form
    145.12/218.44 = 132.16/x
  3. Step 3: Cross multiply
    145.12x = 218.44 × 132.16
  4. Step 4: Simplify right side
    145.12x = 28,869.03
  5. Step 5: Solve for x
    x = 28,869.03/145.12
  6. Step 6: Final answer
    x = 198.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.