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Finding the Fourth Proportional to 320.66, 442.54 and 189.68

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Solution

The fourth proportional to 320.66, 442.54 and 189.68 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.66 : 442.54 = 189.68 : x
  2. Step 2: Convert to fraction form
    320.66/442.54 = 189.68/x
  3. Step 3: Cross multiply
    320.66x = 442.54 × 189.68
  4. Step 4: Simplify right side
    320.66x = 83,938.77
  5. Step 5: Solve for x
    x = 83,938.77/320.66
  6. Step 6: Final answer
    x = 261.77

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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.