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Finding the Fourth Proportional to 49.99, 75.02 and 42.79

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Solution

The fourth proportional to 49.99, 75.02 and 42.79 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.99 : 75.02 = 42.79 : x
  2. Step 2: Convert to fraction form
    49.99/75.02 = 42.79/x
  3. Step 3: Cross multiply
    49.99x = 75.02 × 42.79
  4. Step 4: Simplify right side
    49.99x = 3,210.11
  5. Step 5: Solve for x
    x = 3,210.11/49.99
  6. Step 6: Final answer
    x = 64.21

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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.