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Finding the Fourth Proportional to 448.75, 619.36 and 282.85

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Solution

The fourth proportional to 448.75, 619.36 and 282.85 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.75 : 619.36 = 282.85 : x
  2. Step 2: Convert to fraction form
    448.75/619.36 = 282.85/x
  3. Step 3: Cross multiply
    448.75x = 619.36 × 282.85
  4. Step 4: Simplify right side
    448.75x = 175,182.88
  5. Step 5: Solve for x
    x = 175,182.88/448.75
  6. Step 6: Final answer
    x = 390.38

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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.