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Finding the Fourth Proportional to 304.75, 420.56 and 217.57

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Solution

The fourth proportional to 304.75, 420.56 and 217.57 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.75 : 420.56 = 217.57 : x
  2. Step 2: Convert to fraction form
    304.75/420.56 = 217.57/x
  3. Step 3: Cross multiply
    304.75x = 420.56 × 217.57
  4. Step 4: Simplify right side
    304.75x = 91,501.24
  5. Step 5: Solve for x
    x = 91,501.24/304.75
  6. Step 6: Final answer
    x = 300.25

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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.