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Finding the Fourth Proportional to 145.68, 217.74 and 104.88

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Solution

The fourth proportional to 145.68, 217.74 and 104.88 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 217.74 = 104.88 : x
  2. Step 2: Convert to fraction form
    145.68/217.74 = 104.88/x
  3. Step 3: Cross multiply
    145.68x = 217.74 × 104.88
  4. Step 4: Simplify right side
    145.68x = 22,836.57
  5. Step 5: Solve for x
    x = 22,836.57/145.68
  6. Step 6: Final answer
    x = 156.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.