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Finding the Fourth Proportional to 295.50, 442.85 and 222.05

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Solution

The fourth proportional to 295.50, 442.85 and 222.05 is: 332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.50 : 442.85 = 222.05 : x
  2. Step 2: Convert to fraction form
    295.50/442.85 = 222.05/x
  3. Step 3: Cross multiply
    295.50x = 442.85 × 222.05
  4. Step 4: Simplify right side
    295.50x = 98,334.84
  5. Step 5: Solve for x
    x = 98,334.84/295.50
  6. Step 6: Final answer
    x = 332.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.