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Finding the Fourth Proportional to 153.48, 211.89 and 106.83

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Solution

The fourth proportional to 153.48, 211.89 and 106.83 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.48 : 211.89 = 106.83 : x
  2. Step 2: Convert to fraction form
    153.48/211.89 = 106.83/x
  3. Step 3: Cross multiply
    153.48x = 211.89 × 106.83
  4. Step 4: Simplify right side
    153.48x = 22,636.21
  5. Step 5: Solve for x
    x = 22,636.21/153.48
  6. Step 6: Final answer
    x = 147.49

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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.