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Finding the Fourth Proportional to 154.80, 213.64 and 150.02

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Solution

The fourth proportional to 154.80, 213.64 and 150.02 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 213.64 = 150.02 : x
  2. Step 2: Convert to fraction form
    154.80/213.64 = 150.02/x
  3. Step 3: Cross multiply
    154.80x = 213.64 × 150.02
  4. Step 4: Simplify right side
    154.80x = 32,050.27
  5. Step 5: Solve for x
    x = 32,050.27/154.80
  6. Step 6: Final answer
    x = 207.04

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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.