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Finding the Fourth Proportional to 277.16, 417.33 and 228.87

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Solution

The fourth proportional to 277.16, 417.33 and 228.87 is: 344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 417.33 = 228.87 : x
  2. Step 2: Convert to fraction form
    277.16/417.33 = 228.87/x
  3. Step 3: Cross multiply
    277.16x = 417.33 × 228.87
  4. Step 4: Simplify right side
    277.16x = 95,514.32
  5. Step 5: Solve for x
    x = 95,514.32/277.16
  6. Step 6: Final answer
    x = 344.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.