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Finding the Fourth Proportional to 320.46, 442.23 and 189.46

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Solution

The fourth proportional to 320.46, 442.23 and 189.46 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 442.23 = 189.46 : x
  2. Step 2: Convert to fraction form
    320.46/442.23 = 189.46/x
  3. Step 3: Cross multiply
    320.46x = 442.23 × 189.46
  4. Step 4: Simplify right side
    320.46x = 83,784.90
  5. Step 5: Solve for x
    x = 83,784.90/320.46
  6. Step 6: Final answer
    x = 261.45

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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.