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Finding the Fourth Proportional to 153.64, 211.99 and 87.22

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Solution

The fourth proportional to 153.64, 211.99 and 87.22 is: 120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 211.99 = 87.22 : x
  2. Step 2: Convert to fraction form
    153.64/211.99 = 87.22/x
  3. Step 3: Cross multiply
    153.64x = 211.99 × 87.22
  4. Step 4: Simplify right side
    153.64x = 18,489.02
  5. Step 5: Solve for x
    x = 18,489.02/153.64
  6. Step 6: Final answer
    x = 120.34

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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.