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Finding the Fourth Proportional to 97.67, 145.75 and 87.45

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Solution

The fourth proportional to 97.67, 145.75 and 87.45 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.67 : 145.75 = 87.45 : x
  2. Step 2: Convert to fraction form
    97.67/145.75 = 87.45/x
  3. Step 3: Cross multiply
    97.67x = 145.75 × 87.45
  4. Step 4: Simplify right side
    97.67x = 12,745.84
  5. Step 5: Solve for x
    x = 12,745.84/97.67
  6. Step 6: Final answer
    x = 130.50

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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.