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Finding the Fourth Proportional to 620.19, 930.28 and 164.19

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Solution

The fourth proportional to 620.19, 930.28 and 164.19 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.19 : 930.28 = 164.19 : x
  2. Step 2: Convert to fraction form
    620.19/930.28 = 164.19/x
  3. Step 3: Cross multiply
    620.19x = 930.28 × 164.19
  4. Step 4: Simplify right side
    620.19x = 152,742.67
  5. Step 5: Solve for x
    x = 152,742.67/620.19
  6. Step 6: Final answer
    x = 246.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.