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Finding the Fourth Proportional to 412.71, 619.19 and 248.36

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Solution

The fourth proportional to 412.71, 619.19 and 248.36 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 619.19 = 248.36 : x
  2. Step 2: Convert to fraction form
    412.71/619.19 = 248.36/x
  3. Step 3: Cross multiply
    412.71x = 619.19 × 248.36
  4. Step 4: Simplify right side
    412.71x = 153,782.34
  5. Step 5: Solve for x
    x = 153,782.34/412.71
  6. Step 6: Final answer
    x = 372.62

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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.