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Finding the Fourth Proportional to 98.99, 149.03 and 90.48

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Solution

The fourth proportional to 98.99, 149.03 and 90.48 is: 136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.99 : 149.03 = 90.48 : x
  2. Step 2: Convert to fraction form
    98.99/149.03 = 90.48/x
  3. Step 3: Cross multiply
    98.99x = 149.03 × 90.48
  4. Step 4: Simplify right side
    98.99x = 13,483.78
  5. Step 5: Solve for x
    x = 13,483.78/98.99
  6. Step 6: Final answer
    x = 136.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.