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Finding the Fourth Proportional to 153.47, 211.72 and 100.38

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Solution

The fourth proportional to 153.47, 211.72 and 100.38 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 211.72 = 100.38 : x
  2. Step 2: Convert to fraction form
    153.47/211.72 = 100.38/x
  3. Step 3: Cross multiply
    153.47x = 211.72 × 100.38
  4. Step 4: Simplify right side
    153.47x = 21,252.45
  5. Step 5: Solve for x
    x = 21,252.45/153.47
  6. Step 6: Final answer
    x = 138.48

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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.