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Finding the Fourth Proportional to 50.65, 75.97 and 43.45

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Solution

The fourth proportional to 50.65, 75.97 and 43.45 is: 65.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.65 : 75.97 = 43.45 : x
  2. Step 2: Convert to fraction form
    50.65/75.97 = 43.45/x
  3. Step 3: Cross multiply
    50.65x = 75.97 × 43.45
  4. Step 4: Simplify right side
    50.65x = 3,300.90
  5. Step 5: Solve for x
    x = 3,300.90/50.65
  6. Step 6: Final answer
    x = 65.17

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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.