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Finding the Fourth Proportional to 295.90, 414.80 and 295.90

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Solution

The fourth proportional to 295.90, 414.80 and 295.90 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.90 : 414.80 = 295.90 : x
  2. Step 2: Convert to fraction form
    295.90/414.80 = 295.90/x
  3. Step 3: Cross multiply
    295.90x = 414.80 × 295.90
  4. Step 4: Simplify right side
    295.90x = 122,739.32
  5. Step 5: Solve for x
    x = 122,739.32/295.90
  6. Step 6: Final answer
    x = 414.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.