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Finding the Fourth Proportional to 448.94, 619.65 and 269.61

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Solution

The fourth proportional to 448.94, 619.65 and 269.61 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 619.65 = 269.61 : x
  2. Step 2: Convert to fraction form
    448.94/619.65 = 269.61/x
  3. Step 3: Cross multiply
    448.94x = 619.65 × 269.61
  4. Step 4: Simplify right side
    448.94x = 167,063.84
  5. Step 5: Solve for x
    x = 167,063.84/448.94
  6. Step 6: Final answer
    x = 372.13

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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.