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Finding the Fourth Proportional to 59.76, 90.09 and 57.87

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Solution

The fourth proportional to 59.76, 90.09 and 57.87 is: 87.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 90.09 = 57.87 : x
  2. Step 2: Convert to fraction form
    59.76/90.09 = 57.87/x
  3. Step 3: Cross multiply
    59.76x = 90.09 × 57.87
  4. Step 4: Simplify right side
    59.76x = 5,213.51
  5. Step 5: Solve for x
    x = 5,213.51/59.76
  6. Step 6: Final answer
    x = 87.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.