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Finding the Fourth Proportional to 153.54, 211.74 and 118.51

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Solution

The fourth proportional to 153.54, 211.74 and 118.51 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 211.74 = 118.51 : x
  2. Step 2: Convert to fraction form
    153.54/211.74 = 118.51/x
  3. Step 3: Cross multiply
    153.54x = 211.74 × 118.51
  4. Step 4: Simplify right side
    153.54x = 25,092.71
  5. Step 5: Solve for x
    x = 25,092.71/153.54
  6. Step 6: Final answer
    x = 163.43

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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.