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Finding the Fourth Proportional to 159.04, 220.63 and 153.64

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Solution

The fourth proportional to 159.04, 220.63 and 153.64 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.04 : 220.63 = 153.64 : x
  2. Step 2: Convert to fraction form
    159.04/220.63 = 153.64/x
  3. Step 3: Cross multiply
    159.04x = 220.63 × 153.64
  4. Step 4: Simplify right side
    159.04x = 33,897.59
  5. Step 5: Solve for x
    x = 33,897.59/159.04
  6. Step 6: Final answer
    x = 213.14

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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.