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Finding the Fourth Proportional to 98.80, 147.16 and 98.36

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Solution

The fourth proportional to 98.80, 147.16 and 98.36 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.80 : 147.16 = 98.36 : x
  2. Step 2: Convert to fraction form
    98.80/147.16 = 98.36/x
  3. Step 3: Cross multiply
    98.80x = 147.16 × 98.36
  4. Step 4: Simplify right side
    98.80x = 14,474.66
  5. Step 5: Solve for x
    x = 14,474.66/98.80
  6. Step 6: Final answer
    x = 146.50

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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.