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Finding the Fourth Proportional to 371.57, 509.42 and 364.98

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Solution

The fourth proportional to 371.57, 509.42 and 364.98 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.57 : 509.42 = 364.98 : x
  2. Step 2: Convert to fraction form
    371.57/509.42 = 364.98/x
  3. Step 3: Cross multiply
    371.57x = 509.42 × 364.98
  4. Step 4: Simplify right side
    371.57x = 185,929.02
  5. Step 5: Solve for x
    x = 185,929.02/371.57
  6. Step 6: Final answer
    x = 500.39

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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.