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Finding the Fourth Proportional to 59.38, 82.05 and 56.58

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Solution

The fourth proportional to 59.38, 82.05 and 56.58 is: 78.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.38 : 82.05 = 56.58 : x
  2. Step 2: Convert to fraction form
    59.38/82.05 = 56.58/x
  3. Step 3: Cross multiply
    59.38x = 82.05 × 56.58
  4. Step 4: Simplify right side
    59.38x = 4,642.39
  5. Step 5: Solve for x
    x = 4,642.39/59.38
  6. Step 6: Final answer
    x = 78.18

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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.