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Finding the Fourth Proportional to 98.99, 147.52 and 98.85

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Solution

The fourth proportional to 98.99, 147.52 and 98.85 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.99 : 147.52 = 98.85 : x
  2. Step 2: Convert to fraction form
    98.99/147.52 = 98.85/x
  3. Step 3: Cross multiply
    98.99x = 147.52 × 98.85
  4. Step 4: Simplify right side
    98.99x = 14,583.03
  5. Step 5: Solve for x
    x = 14,583.03/98.99
  6. Step 6: Final answer
    x = 147.32

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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.