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Finding the Fourth Proportional to 43.90, 65.62 and 42.82

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Solution

The fourth proportional to 43.90, 65.62 and 42.82 is: 64.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.90 : 65.62 = 42.82 : x
  2. Step 2: Convert to fraction form
    43.90/65.62 = 42.82/x
  3. Step 3: Cross multiply
    43.90x = 65.62 × 42.82
  4. Step 4: Simplify right side
    43.90x = 2,809.96
  5. Step 5: Solve for x
    x = 2,809.96/43.90
  6. Step 6: Final answer
    x = 64.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.