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Finding the Fourth Proportional to 279.90, 418.75 and 183.90

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Solution

The fourth proportional to 279.90, 418.75 and 183.90 is: 275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.90 : 418.75 = 183.90 : x
  2. Step 2: Convert to fraction form
    279.90/418.75 = 183.90/x
  3. Step 3: Cross multiply
    279.90x = 418.75 × 183.90
  4. Step 4: Simplify right side
    279.90x = 77,008.13
  5. Step 5: Solve for x
    x = 77,008.13/279.90
  6. Step 6: Final answer
    x = 275.13

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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.