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Finding the Fourth Proportional to 298.99, 448.86 and 230.56

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Solution

The fourth proportional to 298.99, 448.86 and 230.56 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.99 : 448.86 = 230.56 : x
  2. Step 2: Convert to fraction form
    298.99/448.86 = 230.56/x
  3. Step 3: Cross multiply
    298.99x = 448.86 × 230.56
  4. Step 4: Simplify right side
    298.99x = 103,486.92
  5. Step 5: Solve for x
    x = 103,486.92/298.99
  6. Step 6: Final answer
    x = 346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.