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Finding the Fourth Proportional to 320.69, 442.33 and 259.18

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Solution

The fourth proportional to 320.69, 442.33 and 259.18 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.69 : 442.33 = 259.18 : x
  2. Step 2: Convert to fraction form
    320.69/442.33 = 259.18/x
  3. Step 3: Cross multiply
    320.69x = 442.33 × 259.18
  4. Step 4: Simplify right side
    320.69x = 114,639.58
  5. Step 5: Solve for x
    x = 114,639.58/320.69
  6. Step 6: Final answer
    x = 357.48

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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.