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Finding the Fourth Proportional to 298.96, 448.81 and 230.52

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Solution

The fourth proportional to 298.96, 448.81 and 230.52 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 448.81 = 230.52 : x
  2. Step 2: Convert to fraction form
    298.96/448.81 = 230.52/x
  3. Step 3: Cross multiply
    298.96x = 448.81 × 230.52
  4. Step 4: Simplify right side
    298.96x = 103,459.10
  5. Step 5: Solve for x
    x = 103,459.10/298.96
  6. Step 6: Final answer
    x = 346.07

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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.