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Finding the Fourth Proportional to 50.68, 75.88 and 30.34

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Solution

The fourth proportional to 50.68, 75.88 and 30.34 is: 45.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.68 : 75.88 = 30.34 : x
  2. Step 2: Convert to fraction form
    50.68/75.88 = 30.34/x
  3. Step 3: Cross multiply
    50.68x = 75.88 × 30.34
  4. Step 4: Simplify right side
    50.68x = 2,301.67
  5. Step 5: Solve for x
    x = 2,301.67/50.68
  6. Step 6: Final answer
    x = 45.42

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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.