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Finding the Fourth Proportional to 50.40, 70.02 and 49.93

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Solution

The fourth proportional to 50.40, 70.02 and 49.93 is: 69.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.40 : 70.02 = 49.93 : x
  2. Step 2: Convert to fraction form
    50.40/70.02 = 49.93/x
  3. Step 3: Cross multiply
    50.40x = 70.02 × 49.93
  4. Step 4: Simplify right side
    50.40x = 3,496.22
  5. Step 5: Solve for x
    x = 3,496.22/50.40
  6. Step 6: Final answer
    x = 69.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.