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Finding the Fourth Proportional to 149.76, 206.64 and 144.72

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Solution

The fourth proportional to 149.76, 206.64 and 144.72 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 206.64 = 144.72 : x
  2. Step 2: Convert to fraction form
    149.76/206.64 = 144.72/x
  3. Step 3: Cross multiply
    149.76x = 206.64 × 144.72
  4. Step 4: Simplify right side
    149.76x = 29,904.94
  5. Step 5: Solve for x
    x = 29,904.94/149.76
  6. Step 6: Final answer
    x = 199.69

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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.