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Finding the Fourth Proportional to 98.18, 146.36 and 90.29

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Solution

The fourth proportional to 98.18, 146.36 and 90.29 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.18 : 146.36 = 90.29 : x
  2. Step 2: Convert to fraction form
    98.18/146.36 = 90.29/x
  3. Step 3: Cross multiply
    98.18x = 146.36 × 90.29
  4. Step 4: Simplify right side
    98.18x = 13,213.66
  5. Step 5: Solve for x
    x = 13,213.66/98.18
  6. Step 6: Final answer
    x = 134.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.