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Finding the Fourth Proportional to 153.64, 210.76 and 144.82

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Solution

The fourth proportional to 153.64, 210.76 and 144.82 is: 198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 210.76 = 144.82 : x
  2. Step 2: Convert to fraction form
    153.64/210.76 = 144.82/x
  3. Step 3: Cross multiply
    153.64x = 210.76 × 144.82
  4. Step 4: Simplify right side
    153.64x = 30,522.26
  5. Step 5: Solve for x
    x = 30,522.26/153.64
  6. Step 6: Final answer
    x = 198.66

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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.