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Finding the Fourth Proportional to 320.23, 441.98 and 187.48

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Solution

The fourth proportional to 320.23, 441.98 and 187.48 is: 258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.23 : 441.98 = 187.48 : x
  2. Step 2: Convert to fraction form
    320.23/441.98 = 187.48/x
  3. Step 3: Cross multiply
    320.23x = 441.98 × 187.48
  4. Step 4: Simplify right side
    320.23x = 82,862.41
  5. Step 5: Solve for x
    x = 82,862.41/320.23
  6. Step 6: Final answer
    x = 258.76

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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.