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Finding the Fourth Proportional to 153.45, 211.91 and 98.24

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Solution

The fourth proportional to 153.45, 211.91 and 98.24 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 211.91 = 98.24 : x
  2. Step 2: Convert to fraction form
    153.45/211.91 = 98.24/x
  3. Step 3: Cross multiply
    153.45x = 211.91 × 98.24
  4. Step 4: Simplify right side
    153.45x = 20,816.49
  5. Step 5: Solve for x
    x = 20,816.49/153.45
  6. Step 6: Final answer
    x = 135.66

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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.