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Finding the Fourth Proportional to 221.18, 304.98 and 165.74

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Solution

The fourth proportional to 221.18, 304.98 and 165.74 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.18 : 304.98 = 165.74 : x
  2. Step 2: Convert to fraction form
    221.18/304.98 = 165.74/x
  3. Step 3: Cross multiply
    221.18x = 304.98 × 165.74
  4. Step 4: Simplify right side
    221.18x = 50,547.39
  5. Step 5: Solve for x
    x = 50,547.39/221.18
  6. Step 6: Final answer
    x = 228.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.