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Finding the Fourth Proportional to 98.05, 145.96 and 97.53

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Solution

The fourth proportional to 98.05, 145.96 and 97.53 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.05 : 145.96 = 97.53 : x
  2. Step 2: Convert to fraction form
    98.05/145.96 = 97.53/x
  3. Step 3: Cross multiply
    98.05x = 145.96 × 97.53
  4. Step 4: Simplify right side
    98.05x = 14,235.48
  5. Step 5: Solve for x
    x = 14,235.48/98.05
  6. Step 6: Final answer
    x = 145.19

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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.