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Finding the Fourth Proportional to 249.02, 373.49 and 78.02

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Solution

The fourth proportional to 249.02, 373.49 and 78.02 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.02 : 373.49 = 78.02 : x
  2. Step 2: Convert to fraction form
    249.02/373.49 = 78.02/x
  3. Step 3: Cross multiply
    249.02x = 373.49 × 78.02
  4. Step 4: Simplify right side
    249.02x = 29,139.69
  5. Step 5: Solve for x
    x = 29,139.69/249.02
  6. Step 6: Final answer
    x = 117.02

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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.