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Finding the Fourth Proportional to 99.09, 147.54 and 98.37

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Solution

The fourth proportional to 99.09, 147.54 and 98.37 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.09 : 147.54 = 98.37 : x
  2. Step 2: Convert to fraction form
    99.09/147.54 = 98.37/x
  3. Step 3: Cross multiply
    99.09x = 147.54 × 98.37
  4. Step 4: Simplify right side
    99.09x = 14,513.51
  5. Step 5: Solve for x
    x = 14,513.51/99.09
  6. Step 6: Final answer
    x = 146.47

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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.