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Finding the Fourth Proportional to 295.69, 441.32 and 290.83

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Solution

The fourth proportional to 295.69, 441.32 and 290.83 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 441.32 = 290.83 : x
  2. Step 2: Convert to fraction form
    295.69/441.32 = 290.83/x
  3. Step 3: Cross multiply
    295.69x = 441.32 × 290.83
  4. Step 4: Simplify right side
    295.69x = 128,348.72
  5. Step 5: Solve for x
    x = 128,348.72/295.69
  6. Step 6: Final answer
    x = 434.06

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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.