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Finding the Fourth Proportional to 50.75, 75.78 and 43.01

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Solution

The fourth proportional to 50.75, 75.78 and 43.01 is: 64.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.75 : 75.78 = 43.01 : x
  2. Step 2: Convert to fraction form
    50.75/75.78 = 43.01/x
  3. Step 3: Cross multiply
    50.75x = 75.78 × 43.01
  4. Step 4: Simplify right side
    50.75x = 3,259.08
  5. Step 5: Solve for x
    x = 3,259.08/50.75
  6. Step 6: Final answer
    x = 64.22

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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.