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Finding the Fourth Proportional to 320.50, 442.45 and 228.66

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Solution

The fourth proportional to 320.50, 442.45 and 228.66 is: 315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 442.45 = 228.66 : x
  2. Step 2: Convert to fraction form
    320.50/442.45 = 228.66/x
  3. Step 3: Cross multiply
    320.50x = 442.45 × 228.66
  4. Step 4: Simplify right side
    320.50x = 101,170.62
  5. Step 5: Solve for x
    x = 101,170.62/320.50
  6. Step 6: Final answer
    x = 315.66

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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.