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Finding the Fourth Proportional to 153.32, 210.50 and 144.43

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Solution

The fourth proportional to 153.32, 210.50 and 144.43 is: 198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.32 : 210.50 = 144.43 : x
  2. Step 2: Convert to fraction form
    153.32/210.50 = 144.43/x
  3. Step 3: Cross multiply
    153.32x = 210.50 × 144.43
  4. Step 4: Simplify right side
    153.32x = 30,402.99
  5. Step 5: Solve for x
    x = 30,402.99/153.32
  6. Step 6: Final answer
    x = 198.30

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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.