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Finding the Fourth Proportional to 448.13, 618.72 and 355.34

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Solution

The fourth proportional to 448.13, 618.72 and 355.34 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 618.72 = 355.34 : x
  2. Step 2: Convert to fraction form
    448.13/618.72 = 355.34/x
  3. Step 3: Cross multiply
    448.13x = 618.72 × 355.34
  4. Step 4: Simplify right side
    448.13x = 219,852.87
  5. Step 5: Solve for x
    x = 219,852.87/448.13
  6. Step 6: Final answer
    x = 490.61

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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.