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Finding the Fourth Proportional to 150.46, 207.77 and 98.01

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Solution

The fourth proportional to 150.46, 207.77 and 98.01 is: 135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 207.77 = 98.01 : x
  2. Step 2: Convert to fraction form
    150.46/207.77 = 98.01/x
  3. Step 3: Cross multiply
    150.46x = 207.77 × 98.01
  4. Step 4: Simplify right side
    150.46x = 20,363.05
  5. Step 5: Solve for x
    x = 20,363.05/150.46
  6. Step 6: Final answer
    x = 135.34

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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.