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Finding the Fourth Proportional to 304.20, 420.06 and 288.93

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Solution

The fourth proportional to 304.20, 420.06 and 288.93 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 420.06 = 288.93 : x
  2. Step 2: Convert to fraction form
    304.20/420.06 = 288.93/x
  3. Step 3: Cross multiply
    304.20x = 420.06 × 288.93
  4. Step 4: Simplify right side
    304.20x = 121,367.94
  5. Step 5: Solve for x
    x = 121,367.94/304.20
  6. Step 6: Final answer
    x = 398.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.