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Finding the Fourth Proportional to 70.86, 97.83 and 55.29

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Solution

The fourth proportional to 70.86, 97.83 and 55.29 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 97.83 = 55.29 : x
  2. Step 2: Convert to fraction form
    70.86/97.83 = 55.29/x
  3. Step 3: Cross multiply
    70.86x = 97.83 × 55.29
  4. Step 4: Simplify right side
    70.86x = 5,409.02
  5. Step 5: Solve for x
    x = 5,409.02/70.86
  6. Step 6: Final answer
    x = 76.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.