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Finding the Fourth Proportional to 89.64, 134.40 and 43.93

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Solution

The fourth proportional to 89.64, 134.40 and 43.93 is: 65.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 134.40 = 43.93 : x
  2. Step 2: Convert to fraction form
    89.64/134.40 = 43.93/x
  3. Step 3: Cross multiply
    89.64x = 134.40 × 43.93
  4. Step 4: Simplify right side
    89.64x = 5,903.86
  5. Step 5: Solve for x
    x = 5,903.86/89.64
  6. Step 6: Final answer
    x = 65.86

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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.