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Finding the Fourth Proportional to 279.99, 417.51 and 241.74

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Solution

The fourth proportional to 279.99, 417.51 and 241.74 is: 360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 417.51 = 241.74 : x
  2. Step 2: Convert to fraction form
    279.99/417.51 = 241.74/x
  3. Step 3: Cross multiply
    279.99x = 417.51 × 241.74
  4. Step 4: Simplify right side
    279.99x = 100,928.87
  5. Step 5: Solve for x
    x = 100,928.87/279.99
  6. Step 6: Final answer
    x = 360.47

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Why These Related Problems?

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