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Finding the Fourth Proportional to 371.23, 513.28 and 365.39

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Solution

The fourth proportional to 371.23, 513.28 and 365.39 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.23 : 513.28 = 365.39 : x
  2. Step 2: Convert to fraction form
    371.23/513.28 = 365.39/x
  3. Step 3: Cross multiply
    371.23x = 513.28 × 365.39
  4. Step 4: Simplify right side
    371.23x = 187,547.38
  5. Step 5: Solve for x
    x = 187,547.38/371.23
  6. Step 6: Final answer
    x = 505.21

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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.