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Finding the Fourth Proportional to 448.98, 619.11 and 301.34

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Solution

The fourth proportional to 448.98, 619.11 and 301.34 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.98 : 619.11 = 301.34 : x
  2. Step 2: Convert to fraction form
    448.98/619.11 = 301.34/x
  3. Step 3: Cross multiply
    448.98x = 619.11 × 301.34
  4. Step 4: Simplify right side
    448.98x = 186,559.51
  5. Step 5: Solve for x
    x = 186,559.51/448.98
  6. Step 6: Final answer
    x = 415.52

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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.