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Finding the Fourth Proportional to 340.83, 511.56 and 295.68

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Solution

The fourth proportional to 340.83, 511.56 and 295.68 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 511.56 = 295.68 : x
  2. Step 2: Convert to fraction form
    340.83/511.56 = 295.68/x
  3. Step 3: Cross multiply
    340.83x = 511.56 × 295.68
  4. Step 4: Simplify right side
    340.83x = 151,258.06
  5. Step 5: Solve for x
    x = 151,258.06/340.83
  6. Step 6: Final answer
    x = 443.79

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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.