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Finding the Fourth Proportional to 368.64, 508.68 and 221.27

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Solution

The fourth proportional to 368.64, 508.68 and 221.27 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 508.68 = 221.27 : x
  2. Step 2: Convert to fraction form
    368.64/508.68 = 221.27/x
  3. Step 3: Cross multiply
    368.64x = 508.68 × 221.27
  4. Step 4: Simplify right side
    368.64x = 112,553.08
  5. Step 5: Solve for x
    x = 112,553.08/368.64
  6. Step 6: Final answer
    x = 305.32

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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.