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Finding the Fourth Proportional to 153.38, 210.26 and 150.62

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Solution

The fourth proportional to 153.38, 210.26 and 150.62 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 210.26 = 150.62 : x
  2. Step 2: Convert to fraction form
    153.38/210.26 = 150.62/x
  3. Step 3: Cross multiply
    153.38x = 210.26 × 150.62
  4. Step 4: Simplify right side
    153.38x = 31,669.36
  5. Step 5: Solve for x
    x = 31,669.36/153.38
  6. Step 6: Final answer
    x = 206.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.