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Finding the Fourth Proportional to 368.72, 508.96 and 213.60

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Solution

The fourth proportional to 368.72, 508.96 and 213.60 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.72 : 508.96 = 213.60 : x
  2. Step 2: Convert to fraction form
    368.72/508.96 = 213.60/x
  3. Step 3: Cross multiply
    368.72x = 508.96 × 213.60
  4. Step 4: Simplify right side
    368.72x = 108,713.86
  5. Step 5: Solve for x
    x = 108,713.86/368.72
  6. Step 6: Final answer
    x = 294.84

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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.