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Finding the Fourth Proportional to 97.03, 146.35 and 85.77

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Solution

The fourth proportional to 97.03, 146.35 and 85.77 is: 129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.03 : 146.35 = 85.77 : x
  2. Step 2: Convert to fraction form
    97.03/146.35 = 85.77/x
  3. Step 3: Cross multiply
    97.03x = 146.35 × 85.77
  4. Step 4: Simplify right side
    97.03x = 12,551.71
  5. Step 5: Solve for x
    x = 12,551.71/97.03
  6. Step 6: Final answer
    x = 129.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.