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Finding the Fourth Proportional to 371.82, 511.74 and 304.86

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Solution

The fourth proportional to 371.82, 511.74 and 304.86 is: 419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 511.74 = 304.86 : x
  2. Step 2: Convert to fraction form
    371.82/511.74 = 304.86/x
  3. Step 3: Cross multiply
    371.82x = 511.74 × 304.86
  4. Step 4: Simplify right side
    371.82x = 156,009.06
  5. Step 5: Solve for x
    x = 156,009.06/371.82
  6. Step 6: Final answer
    x = 419.58

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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.