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Finding the Fourth Proportional to 298, 445.01 and 291.25

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Solution

The fourth proportional to 298, 445.01 and 291.25 is: 434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 445.01 = 291.25 : x
  2. Step 2: Convert to fraction form
    298/445.01 = 291.25/x
  3. Step 3: Cross multiply
    298x = 445.01 × 291.25
  4. Step 4: Simplify right side
    298x = 129,609.16
  5. Step 5: Solve for x
    x = 129,609.16/298
  6. Step 6: Final answer
    x = 434.93

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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.