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Finding the Fourth Proportional to 153.09, 210.99 and 136.71

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Solution

The fourth proportional to 153.09, 210.99 and 136.71 is: 188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 210.99 = 136.71 : x
  2. Step 2: Convert to fraction form
    153.09/210.99 = 136.71/x
  3. Step 3: Cross multiply
    153.09x = 210.99 × 136.71
  4. Step 4: Simplify right side
    153.09x = 28,844.44
  5. Step 5: Solve for x
    x = 28,844.44/153.09
  6. Step 6: Final answer
    x = 188.41

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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.