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Finding the Fourth Proportional to 59.02, 81.42 and 57.80

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Solution

The fourth proportional to 59.02, 81.42 and 57.80 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.02 : 81.42 = 57.80 : x
  2. Step 2: Convert to fraction form
    59.02/81.42 = 57.80/x
  3. Step 3: Cross multiply
    59.02x = 81.42 × 57.80
  4. Step 4: Simplify right side
    59.02x = 4,706.08
  5. Step 5: Solve for x
    x = 4,706.08/59.02
  6. Step 6: Final answer
    x = 79.74

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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.