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Finding the Fourth Proportional to 448.32, 618.78 and 301.08

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Solution

The fourth proportional to 448.32, 618.78 and 301.08 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 618.78 = 301.08 : x
  2. Step 2: Convert to fraction form
    448.32/618.78 = 301.08/x
  3. Step 3: Cross multiply
    448.32x = 618.78 × 301.08
  4. Step 4: Simplify right side
    448.32x = 186,302.28
  5. Step 5: Solve for x
    x = 186,302.28/448.32
  6. Step 6: Final answer
    x = 415.56

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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.