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Finding the Fourth Proportional to 99.06, 147.57 and 98.34

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Solution

The fourth proportional to 99.06, 147.57 and 98.34 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.06 : 147.57 = 98.34 : x
  2. Step 2: Convert to fraction form
    99.06/147.57 = 98.34/x
  3. Step 3: Cross multiply
    99.06x = 147.57 × 98.34
  4. Step 4: Simplify right side
    99.06x = 14,512.03
  5. Step 5: Solve for x
    x = 14,512.03/99.06
  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.