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Finding the Fourth Proportional to 82.98, 114.63 and 55.34

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Solution

The fourth proportional to 82.98, 114.63 and 55.34 is: 76.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 114.63 = 55.34 : x
  2. Step 2: Convert to fraction form
    82.98/114.63 = 55.34/x
  3. Step 3: Cross multiply
    82.98x = 114.63 × 55.34
  4. Step 4: Simplify right side
    82.98x = 6,343.05
  5. Step 5: Solve for x
    x = 6,343.05/82.98
  6. Step 6: Final answer
    x = 76.45

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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.