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Finding the Fourth Proportional to 320.49, 442.06 and 215.70

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Solution

The fourth proportional to 320.49, 442.06 and 215.70 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.49 : 442.06 = 215.70 : x
  2. Step 2: Convert to fraction form
    320.49/442.06 = 215.70/x
  3. Step 3: Cross multiply
    320.49x = 442.06 × 215.70
  4. Step 4: Simplify right side
    320.49x = 95,350.15
  5. Step 5: Solve for x
    x = 95,350.15/320.49
  6. Step 6: Final answer
    x = 297.51

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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.