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Finding the Fourth Proportional to 336.38, 507.04 and 322.49

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Solution

The fourth proportional to 336.38, 507.04 and 322.49 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 507.04 = 322.49 : x
  2. Step 2: Convert to fraction form
    336.38/507.04 = 322.49/x
  3. Step 3: Cross multiply
    336.38x = 507.04 × 322.49
  4. Step 4: Simplify right side
    336.38x = 163,511.18
  5. Step 5: Solve for x
    x = 163,511.18/336.38
  6. Step 6: Final answer
    x = 486.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.