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Finding the Fourth Proportional to 448.16, 618.74 and 355.28

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Solution

The fourth proportional to 448.16, 618.74 and 355.28 is: 490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 618.74 = 355.28 : x
  2. Step 2: Convert to fraction form
    448.16/618.74 = 355.28/x
  3. Step 3: Cross multiply
    448.16x = 618.74 × 355.28
  4. Step 4: Simplify right side
    448.16x = 219,821.08
  5. Step 5: Solve for x
    x = 219,821.08/448.16
  6. Step 6: Final answer
    x = 490.50

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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.