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Finding the Fourth Proportional to 371.31, 509.07 and 365.64

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Solution

The fourth proportional to 371.31, 509.07 and 365.64 is: 501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 509.07 = 365.64 : x
  2. Step 2: Convert to fraction form
    371.31/509.07 = 365.64/x
  3. Step 3: Cross multiply
    371.31x = 509.07 × 365.64
  4. Step 4: Simplify right side
    371.31x = 186,136.35
  5. Step 5: Solve for x
    x = 186,136.35/371.31
  6. Step 6: Final answer
    x = 501.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.