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Finding the Fourth Proportional to 368.38, 508.34 and 213.14

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Solution

The fourth proportional to 368.38, 508.34 and 213.14 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.38 : 508.34 = 213.14 : x
  2. Step 2: Convert to fraction form
    368.38/508.34 = 213.14/x
  3. Step 3: Cross multiply
    368.38x = 508.34 × 213.14
  4. Step 4: Simplify right side
    368.38x = 108,347.59
  5. Step 5: Solve for x
    x = 108,347.59/368.38
  6. Step 6: Final answer
    x = 294.12

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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.