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Finding the Fourth Proportional to 320.47, 442.07 and 298.87

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Solution

The fourth proportional to 320.47, 442.07 and 298.87 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.47 : 442.07 = 298.87 : x
  2. Step 2: Convert to fraction form
    320.47/442.07 = 298.87/x
  3. Step 3: Cross multiply
    320.47x = 442.07 × 298.87
  4. Step 4: Simplify right side
    320.47x = 132,119.97
  5. Step 5: Solve for x
    x = 132,119.97/320.47
  6. Step 6: Final answer
    x = 412.27

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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.