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Finding the Fourth Proportional to 368.36, 507.22 and 319.24

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Solution

The fourth proportional to 368.36, 507.22 and 319.24 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.36 : 507.22 = 319.24 : x
  2. Step 2: Convert to fraction form
    368.36/507.22 = 319.24/x
  3. Step 3: Cross multiply
    368.36x = 507.22 × 319.24
  4. Step 4: Simplify right side
    368.36x = 161,924.91
  5. Step 5: Solve for x
    x = 161,924.91/368.36
  6. Step 6: Final answer
    x = 439.58

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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.