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Finding the Fourth Proportional to 368.68, 512.19 and 365.30

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Solution

The fourth proportional to 368.68, 512.19 and 365.30 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 512.19 = 365.30 : x
  2. Step 2: Convert to fraction form
    368.68/512.19 = 365.30/x
  3. Step 3: Cross multiply
    368.68x = 512.19 × 365.30
  4. Step 4: Simplify right side
    368.68x = 187,103.01
  5. Step 5: Solve for x
    x = 187,103.01/368.68
  6. Step 6: Final answer
    x = 507.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.