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Finding the Fourth Proportional to 58.09, 79.46 and 57.91

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Solution

The fourth proportional to 58.09, 79.46 and 57.91 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.09 : 79.46 = 57.91 : x
  2. Step 2: Convert to fraction form
    58.09/79.46 = 57.91/x
  3. Step 3: Cross multiply
    58.09x = 79.46 × 57.91
  4. Step 4: Simplify right side
    58.09x = 4,601.53
  5. Step 5: Solve for x
    x = 4,601.53/58.09
  6. Step 6: Final answer
    x = 79.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.