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Finding the Fourth Proportional to 145.68, 219.72 and 129.84

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Solution

The fourth proportional to 145.68, 219.72 and 129.84 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 219.72 = 129.84 : x
  2. Step 2: Convert to fraction form
    145.68/219.72 = 129.84/x
  3. Step 3: Cross multiply
    145.68x = 219.72 × 129.84
  4. Step 4: Simplify right side
    145.68x = 28,528.44
  5. Step 5: Solve for x
    x = 28,528.44/145.68
  6. Step 6: Final answer
    x = 195.83

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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.