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Finding the Fourth Proportional to 98.19, 146.49 and 97.50

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Solution

The fourth proportional to 98.19, 146.49 and 97.50 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 146.49 = 97.50 : x
  2. Step 2: Convert to fraction form
    98.19/146.49 = 97.50/x
  3. Step 3: Cross multiply
    98.19x = 146.49 × 97.50
  4. Step 4: Simplify right side
    98.19x = 14,282.78
  5. Step 5: Solve for x
    x = 14,282.78/98.19
  6. Step 6: Final answer
    x = 145.46

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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.