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Finding the Fourth Proportional to 295.08, 404.32 and 290.76

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Solution

The fourth proportional to 295.08, 404.32 and 290.76 is: 398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 404.32 = 290.76 : x
  2. Step 2: Convert to fraction form
    295.08/404.32 = 290.76/x
  3. Step 3: Cross multiply
    295.08x = 404.32 × 290.76
  4. Step 4: Simplify right side
    295.08x = 117,560.08
  5. Step 5: Solve for x
    x = 117,560.08/295.08
  6. Step 6: Final answer
    x = 398.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.