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Finding the Fourth Proportional to 299.42, 448.74 and 162.50

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Solution

The fourth proportional to 299.42, 448.74 and 162.50 is: 243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 448.74 = 162.50 : x
  2. Step 2: Convert to fraction form
    299.42/448.74 = 162.50/x
  3. Step 3: Cross multiply
    299.42x = 448.74 × 162.50
  4. Step 4: Simplify right side
    299.42x = 72,920.25
  5. Step 5: Solve for x
    x = 72,920.25/299.42
  6. Step 6: Final answer
    x = 243.54

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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.