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Finding the Fourth Proportional to 97.00, 145.47 and 28.51

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Solution

The fourth proportional to 97.00, 145.47 and 28.51 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.00 : 145.47 = 28.51 : x
  2. Step 2: Convert to fraction form
    97.00/145.47 = 28.51/x
  3. Step 3: Cross multiply
    97.00x = 145.47 × 28.51
  4. Step 4: Simplify right side
    97.00x = 4,147.09
  5. Step 5: Solve for x
    x = 4,147.09/97.00
  6. Step 6: Final answer
    x = 42.75

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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.