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Finding the Fourth Proportional to 304.96, 417.68 and 294.08

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Solution

The fourth proportional to 304.96, 417.68 and 294.08 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.96 : 417.68 = 294.08 : x
  2. Step 2: Convert to fraction form
    304.96/417.68 = 294.08/x
  3. Step 3: Cross multiply
    304.96x = 417.68 × 294.08
  4. Step 4: Simplify right side
    304.96x = 122,831.33
  5. Step 5: Solve for x
    x = 122,831.33/304.96
  6. Step 6: Final answer
    x = 402.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.