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Finding the Fourth Proportional to 82.94, 114.55 and 70.79

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Solution

The fourth proportional to 82.94, 114.55 and 70.79 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 114.55 = 70.79 : x
  2. Step 2: Convert to fraction form
    82.94/114.55 = 70.79/x
  3. Step 3: Cross multiply
    82.94x = 114.55 × 70.79
  4. Step 4: Simplify right side
    82.94x = 8,108.24
  5. Step 5: Solve for x
    x = 8,108.24/82.94
  6. Step 6: Final answer
    x = 97.77

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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.