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Finding the Fourth Proportional to 448.96, 619.63 and 262.51

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Solution

The fourth proportional to 448.96, 619.63 and 262.51 is: 362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 619.63 = 262.51 : x
  2. Step 2: Convert to fraction form
    448.96/619.63 = 262.51/x
  3. Step 3: Cross multiply
    448.96x = 619.63 × 262.51
  4. Step 4: Simplify right side
    448.96x = 162,655.97
  5. Step 5: Solve for x
    x = 162,655.97/448.96
  6. Step 6: Final answer
    x = 362.30

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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.