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Finding the Fourth Proportional to 97, 145.45 and 53.67

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Solution

The fourth proportional to 97, 145.45 and 53.67 is: 80.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 145.45 = 53.67 : x
  2. Step 2: Convert to fraction form
    97/145.45 = 53.67/x
  3. Step 3: Cross multiply
    97x = 145.45 × 53.67
  4. Step 4: Simplify right side
    97x = 7,806.30
  5. Step 5: Solve for x
    x = 7,806.30/97
  6. Step 6: Final answer
    x = 80.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.