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Finding the Fourth Proportional to 304.86, 420.66 and 206.74

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Solution

The fourth proportional to 304.86, 420.66 and 206.74 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 420.66 = 206.74 : x
  2. Step 2: Convert to fraction form
    304.86/420.66 = 206.74/x
  3. Step 3: Cross multiply
    304.86x = 420.66 × 206.74
  4. Step 4: Simplify right side
    304.86x = 86,967.25
  5. Step 5: Solve for x
    x = 86,967.25/304.86
  6. Step 6: Final answer
    x = 285.27

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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.