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Finding the Fourth Proportional to 295.10, 404.59 and 289.90

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Solution

The fourth proportional to 295.10, 404.59 and 289.90 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.10 : 404.59 = 289.90 : x
  2. Step 2: Convert to fraction form
    295.10/404.59 = 289.90/x
  3. Step 3: Cross multiply
    295.10x = 404.59 × 289.90
  4. Step 4: Simplify right side
    295.10x = 117,290.64
  5. Step 5: Solve for x
    x = 117,290.64/295.10
  6. Step 6: Final answer
    x = 397.46

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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.