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Finding the Fourth Proportional to 43.56, 65.72 and 43.09

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Solution

The fourth proportional to 43.56, 65.72 and 43.09 is: 65.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.56 : 65.72 = 43.09 : x
  2. Step 2: Convert to fraction form
    43.56/65.72 = 43.09/x
  3. Step 3: Cross multiply
    43.56x = 65.72 × 43.09
  4. Step 4: Simplify right side
    43.56x = 2,831.82
  5. Step 5: Solve for x
    x = 2,831.82/43.56
  6. Step 6: Final answer
    x = 65.01

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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.