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Finding the Fourth Proportional to 612.78, 918.86 and 227.76

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Solution

The fourth proportional to 612.78, 918.86 and 227.76 is: 341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.78 : 918.86 = 227.76 : x
  2. Step 2: Convert to fraction form
    612.78/918.86 = 227.76/x
  3. Step 3: Cross multiply
    612.78x = 918.86 × 227.76
  4. Step 4: Simplify right side
    612.78x = 209,279.55
  5. Step 5: Solve for x
    x = 209,279.55/612.78
  6. Step 6: Final answer
    x = 341.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.