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Finding the Fourth Proportional to 153.10, 211.08 and 97.74

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Solution

The fourth proportional to 153.10, 211.08 and 97.74 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 211.08 = 97.74 : x
  2. Step 2: Convert to fraction form
    153.10/211.08 = 97.74/x
  3. Step 3: Cross multiply
    153.10x = 211.08 × 97.74
  4. Step 4: Simplify right side
    153.10x = 20,630.47
  5. Step 5: Solve for x
    x = 20,630.47/153.10
  6. Step 6: Final answer
    x = 134.76

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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.