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Finding the Fourth Proportional to 99.05, 147.78 and 98.37

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Solution

The fourth proportional to 99.05, 147.78 and 98.37 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.05 : 147.78 = 98.37 : x
  2. Step 2: Convert to fraction form
    99.05/147.78 = 98.37/x
  3. Step 3: Cross multiply
    99.05x = 147.78 × 98.37
  4. Step 4: Simplify right side
    99.05x = 14,537.12
  5. Step 5: Solve for x
    x = 14,537.12/99.05
  6. Step 6: Final answer
    x = 146.77

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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.