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Finding the Fourth Proportional to 97.78, 145.73 and 97.63

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Solution

The fourth proportional to 97.78, 145.73 and 97.63 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 145.73 = 97.63 : x
  2. Step 2: Convert to fraction form
    97.78/145.73 = 97.63/x
  3. Step 3: Cross multiply
    97.78x = 145.73 × 97.63
  4. Step 4: Simplify right side
    97.78x = 14,227.62
  5. Step 5: Solve for x
    x = 14,227.62/97.78
  6. Step 6: Final answer
    x = 145.51

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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.