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Finding the Fourth Proportional to 82.93, 114.39 and 56.69

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Solution

The fourth proportional to 82.93, 114.39 and 56.69 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.93 : 114.39 = 56.69 : x
  2. Step 2: Convert to fraction form
    82.93/114.39 = 56.69/x
  3. Step 3: Cross multiply
    82.93x = 114.39 × 56.69
  4. Step 4: Simplify right side
    82.93x = 6,484.77
  5. Step 5: Solve for x
    x = 6,484.77/82.93
  6. Step 6: Final answer
    x = 78.20

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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.