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Finding the Fourth Proportional to 109.99, 151.10 and 98.48

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Solution

The fourth proportional to 109.99, 151.10 and 98.48 is: 135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 151.10 = 98.48 : x
  2. Step 2: Convert to fraction form
    109.99/151.10 = 98.48/x
  3. Step 3: Cross multiply
    109.99x = 151.10 × 98.48
  4. Step 4: Simplify right side
    109.99x = 14,880.95
  5. Step 5: Solve for x
    x = 14,880.95/109.99
  6. Step 6: Final answer
    x = 135.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.