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Finding the Fourth Proportional to 448.96, 619.66 and 262.48

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Solution

The fourth proportional to 448.96, 619.66 and 262.48 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 619.66 = 262.48 : x
  2. Step 2: Convert to fraction form
    448.96/619.66 = 262.48/x
  3. Step 3: Cross multiply
    448.96x = 619.66 × 262.48
  4. Step 4: Simplify right side
    448.96x = 162,648.36
  5. Step 5: Solve for x
    x = 162,648.36/448.96
  6. Step 6: Final answer
    x = 362.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.