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Finding the Fourth Proportional to 43.65, 65.37 and 30.06

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Solution

The fourth proportional to 43.65, 65.37 and 30.06 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.65 : 65.37 = 30.06 : x
  2. Step 2: Convert to fraction form
    43.65/65.37 = 30.06/x
  3. Step 3: Cross multiply
    43.65x = 65.37 × 30.06
  4. Step 4: Simplify right side
    43.65x = 1,965.02
  5. Step 5: Solve for x
    x = 1,965.02/43.65
  6. Step 6: Final answer
    x = 45.02

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