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Finding the Fourth Proportional to 364.30, 509.41 and 364.30

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Solution

The fourth proportional to 364.30, 509.41 and 364.30 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.30 : 509.41 = 364.30 : x
  2. Step 2: Convert to fraction form
    364.30/509.41 = 364.30/x
  3. Step 3: Cross multiply
    364.30x = 509.41 × 364.30
  4. Step 4: Simplify right side
    364.30x = 185,578.06
  5. Step 5: Solve for x
    x = 185,578.06/364.30
  6. Step 6: Final answer
    x = 509.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.