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Finding the Fourth Proportional to 295.03, 442.41 and 213.76

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Solution

The fourth proportional to 295.03, 442.41 and 213.76 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 442.41 = 213.76 : x
  2. Step 2: Convert to fraction form
    295.03/442.41 = 213.76/x
  3. Step 3: Cross multiply
    295.03x = 442.41 × 213.76
  4. Step 4: Simplify right side
    295.03x = 94,569.56
  5. Step 5: Solve for x
    x = 94,569.56/295.03
  6. Step 6: Final answer
    x = 320.54

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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.