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Finding the Fourth Proportional to 228.76, 313.73 and 221.68

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Solution

The fourth proportional to 228.76, 313.73 and 221.68 is: 304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 313.73 = 221.68 : x
  2. Step 2: Convert to fraction form
    228.76/313.73 = 221.68/x
  3. Step 3: Cross multiply
    228.76x = 313.73 × 221.68
  4. Step 4: Simplify right side
    228.76x = 69,547.67
  5. Step 5: Solve for x
    x = 69,547.67/228.76
  6. Step 6: Final answer
    x = 304.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.