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Finding the Fourth Proportional to 82.23, 113.40 and 53.07

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Solution

The fourth proportional to 82.23, 113.40 and 53.07 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.40 = 53.07 : x
  2. Step 2: Convert to fraction form
    82.23/113.40 = 53.07/x
  3. Step 3: Cross multiply
    82.23x = 113.40 × 53.07
  4. Step 4: Simplify right side
    82.23x = 6,018.14
  5. Step 5: Solve for x
    x = 6,018.14/82.23
  6. Step 6: Final answer
    x = 73.19

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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.