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Finding the Fourth Proportional to 279.62, 417.55 and 228.37

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Solution

The fourth proportional to 279.62, 417.55 and 228.37 is: 341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.62 : 417.55 = 228.37 : x
  2. Step 2: Convert to fraction form
    279.62/417.55 = 228.37/x
  3. Step 3: Cross multiply
    279.62x = 417.55 × 228.37
  4. Step 4: Simplify right side
    279.62x = 95,353.52
  5. Step 5: Solve for x
    x = 95,353.52/279.62
  6. Step 6: Final answer
    x = 341.01

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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.