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Finding the Fourth Proportional to 150.76, 209.17 and 146.50

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Solution

The fourth proportional to 150.76, 209.17 and 146.50 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.76 : 209.17 = 146.50 : x
  2. Step 2: Convert to fraction form
    150.76/209.17 = 146.50/x
  3. Step 3: Cross multiply
    150.76x = 209.17 × 146.50
  4. Step 4: Simplify right side
    150.76x = 30,643.41
  5. Step 5: Solve for x
    x = 30,643.41/150.76
  6. Step 6: Final answer
    x = 203.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.