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Finding the Fourth Proportional to 279.99, 417.83 and 230.78

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Solution

The fourth proportional to 279.99, 417.83 and 230.78 is: 344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 417.83 = 230.78 : x
  2. Step 2: Convert to fraction form
    279.99/417.83 = 230.78/x
  3. Step 3: Cross multiply
    279.99x = 417.83 × 230.78
  4. Step 4: Simplify right side
    279.99x = 96,423.56
  5. Step 5: Solve for x
    x = 96,423.56/279.99
  6. Step 6: Final answer
    x = 344.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.