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Finding the Fourth Proportional to 320.18, 441.56 and 257.99

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Solution

The fourth proportional to 320.18, 441.56 and 257.99 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.18 : 441.56 = 257.99 : x
  2. Step 2: Convert to fraction form
    320.18/441.56 = 257.99/x
  3. Step 3: Cross multiply
    320.18x = 441.56 × 257.99
  4. Step 4: Simplify right side
    320.18x = 113,916.50
  5. Step 5: Solve for x
    x = 113,916.50/320.18
  6. Step 6: Final answer
    x = 355.79

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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.