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Finding the Fourth Proportional to 319.96, 442.38 and 258.40

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Solution

The fourth proportional to 319.96, 442.38 and 258.40 is: 357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 442.38 = 258.40 : x
  2. Step 2: Convert to fraction form
    319.96/442.38 = 258.40/x
  3. Step 3: Cross multiply
    319.96x = 442.38 × 258.40
  4. Step 4: Simplify right side
    319.96x = 114,310.99
  5. Step 5: Solve for x
    x = 114,310.99/319.96
  6. Step 6: Final answer
    x = 357.27

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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.