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Finding the Fourth Proportional to 320.38, 442.26 and 220.93

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Solution

The fourth proportional to 320.38, 442.26 and 220.93 is: 304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 442.26 = 220.93 : x
  2. Step 2: Convert to fraction form
    320.38/442.26 = 220.93/x
  3. Step 3: Cross multiply
    320.38x = 442.26 × 220.93
  4. Step 4: Simplify right side
    320.38x = 97,708.50
  5. Step 5: Solve for x
    x = 97,708.50/320.38
  6. Step 6: Final answer
    x = 304.98

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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.