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Finding the Fourth Proportional to 153.19, 211.41 and 103.98

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Solution

The fourth proportional to 153.19, 211.41 and 103.98 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 211.41 = 103.98 : x
  2. Step 2: Convert to fraction form
    153.19/211.41 = 103.98/x
  3. Step 3: Cross multiply
    153.19x = 211.41 × 103.98
  4. Step 4: Simplify right side
    153.19x = 21,983.20
  5. Step 5: Solve for x
    x = 21,983.20/153.19
  6. Step 6: Final answer
    x = 143.50

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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.