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Finding the Fourth Proportional to 55.23, 82.29 and 52.13

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Solution

The fourth proportional to 55.23, 82.29 and 52.13 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.23 : 82.29 = 52.13 : x
  2. Step 2: Convert to fraction form
    55.23/82.29 = 52.13/x
  3. Step 3: Cross multiply
    55.23x = 82.29 × 52.13
  4. Step 4: Simplify right side
    55.23x = 4,289.37
  5. Step 5: Solve for x
    x = 4,289.37/55.23
  6. Step 6: Final answer
    x = 77.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.