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Finding the Fourth Proportional to 228.80, 345.92 and 228.80

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Solution

The fourth proportional to 228.80, 345.92 and 228.80 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 345.92 = 228.80 : x
  2. Step 2: Convert to fraction form
    228.80/345.92 = 228.80/x
  3. Step 3: Cross multiply
    228.80x = 345.92 × 228.80
  4. Step 4: Simplify right side
    228.80x = 79,146.50
  5. Step 5: Solve for x
    x = 79,146.50/228.80
  6. Step 6: Final answer
    x = 345.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.