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Finding the Fourth Proportional to 295.04, 442.30 and 197.54

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Solution

The fourth proportional to 295.04, 442.30 and 197.54 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 442.30 = 197.54 : x
  2. Step 2: Convert to fraction form
    295.04/442.30 = 197.54/x
  3. Step 3: Cross multiply
    295.04x = 442.30 × 197.54
  4. Step 4: Simplify right side
    295.04x = 87,369.73
  5. Step 5: Solve for x
    x = 87,369.73/295.04
  6. Step 6: Final answer
    x = 296.13

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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.