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Finding the Fourth Proportional to 295.72, 442.50 and 222.14

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Solution

The fourth proportional to 295.72, 442.50 and 222.14 is: 332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.72 : 442.50 = 222.14 : x
  2. Step 2: Convert to fraction form
    295.72/442.50 = 222.14/x
  3. Step 3: Cross multiply
    295.72x = 442.50 × 222.14
  4. Step 4: Simplify right side
    295.72x = 98,296.95
  5. Step 5: Solve for x
    x = 98,296.95/295.72
  6. Step 6: Final answer
    x = 332.40

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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.