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Finding the Fourth Proportional to 320.15, 442.62 and 222.63

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Solution

The fourth proportional to 320.15, 442.62 and 222.63 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.15 : 442.62 = 222.63 : x
  2. Step 2: Convert to fraction form
    320.15/442.62 = 222.63/x
  3. Step 3: Cross multiply
    320.15x = 442.62 × 222.63
  4. Step 4: Simplify right side
    320.15x = 98,539.38
  5. Step 5: Solve for x
    x = 98,539.38/320.15
  6. Step 6: Final answer
    x = 307.80

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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.