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Finding the Fourth Proportional to 298.60, 404.55 and 298.60

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Solution

The fourth proportional to 298.60, 404.55 and 298.60 is: 404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 404.55 = 298.60 : x
  2. Step 2: Convert to fraction form
    298.60/404.55 = 298.60/x
  3. Step 3: Cross multiply
    298.60x = 404.55 × 298.60
  4. Step 4: Simplify right side
    298.60x = 120,798.63
  5. Step 5: Solve for x
    x = 120,798.63/298.60
  6. Step 6: Final answer
    x = 404.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.