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Finding the Fourth Proportional to 58.66, 81.39 and 55.96

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Solution

The fourth proportional to 58.66, 81.39 and 55.96 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.66 : 81.39 = 55.96 : x
  2. Step 2: Convert to fraction form
    58.66/81.39 = 55.96/x
  3. Step 3: Cross multiply
    58.66x = 81.39 × 55.96
  4. Step 4: Simplify right side
    58.66x = 4,554.28
  5. Step 5: Solve for x
    x = 4,554.28/58.66
  6. Step 6: Final answer
    x = 77.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.