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Finding the Fourth Proportional to 253.36, 379.98 and 80.02

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Solution

The fourth proportional to 253.36, 379.98 and 80.02 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 379.98 = 80.02 : x
  2. Step 2: Convert to fraction form
    253.36/379.98 = 80.02/x
  3. Step 3: Cross multiply
    253.36x = 379.98 × 80.02
  4. Step 4: Simplify right side
    253.36x = 30,406.00
  5. Step 5: Solve for x
    x = 30,406.00/253.36
  6. Step 6: Final answer
    x = 120.01

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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.