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Finding the Fourth Proportional to 59.53, 89.08 and 43.31

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Solution

The fourth proportional to 59.53, 89.08 and 43.31 is: 64.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 89.08 = 43.31 : x
  2. Step 2: Convert to fraction form
    59.53/89.08 = 43.31/x
  3. Step 3: Cross multiply
    59.53x = 89.08 × 43.31
  4. Step 4: Simplify right side
    59.53x = 3,858.05
  5. Step 5: Solve for x
    x = 3,858.05/59.53
  6. Step 6: Final answer
    x = 64.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.