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Finding the Fourth Proportional to 97.78, 145.98 and 97.10

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Solution

The fourth proportional to 97.78, 145.98 and 97.10 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 145.98 = 97.10 : x
  2. Step 2: Convert to fraction form
    97.78/145.98 = 97.10/x
  3. Step 3: Cross multiply
    97.78x = 145.98 × 97.10
  4. Step 4: Simplify right side
    97.78x = 14,174.66
  5. Step 5: Solve for x
    x = 14,174.66/97.78
  6. Step 6: Final answer
    x = 144.96

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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.