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Finding the Fourth Proportional to 58.34, 86.92 and 55.28

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Solution

The fourth proportional to 58.34, 86.92 and 55.28 is: 82.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.34 : 86.92 = 55.28 : x
  2. Step 2: Convert to fraction form
    58.34/86.92 = 55.28/x
  3. Step 3: Cross multiply
    58.34x = 86.92 × 55.28
  4. Step 4: Simplify right side
    58.34x = 4,804.94
  5. Step 5: Solve for x
    x = 4,804.94/58.34
  6. Step 6: Final answer
    x = 82.36

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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.