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Finding the Fourth Proportional to 279.88, 417.59 and 248.92

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Solution

The fourth proportional to 279.88, 417.59 and 248.92 is: 371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 417.59 = 248.92 : x
  2. Step 2: Convert to fraction form
    279.88/417.59 = 248.92/x
  3. Step 3: Cross multiply
    279.88x = 417.59 × 248.92
  4. Step 4: Simplify right side
    279.88x = 103,946.50
  5. Step 5: Solve for x
    x = 103,946.50/279.88
  6. Step 6: Final answer
    x = 371.40

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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.