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Finding the Fourth Proportional to 295.76, 442.12 and 234.20

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Solution

The fourth proportional to 295.76, 442.12 and 234.20 is: 350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 442.12 = 234.20 : x
  2. Step 2: Convert to fraction form
    295.76/442.12 = 234.20/x
  3. Step 3: Cross multiply
    295.76x = 442.12 × 234.20
  4. Step 4: Simplify right side
    295.76x = 103,544.50
  5. Step 5: Solve for x
    x = 103,544.50/295.76
  6. Step 6: Final answer
    x = 350.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.