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Finding the Fourth Proportional to 646, 891.26 and 366.18

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Solution

The fourth proportional to 646, 891.26 and 366.18 is: 505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 891.26 = 366.18 : x
  2. Step 2: Convert to fraction form
    646/891.26 = 366.18/x
  3. Step 3: Cross multiply
    646x = 891.26 × 366.18
  4. Step 4: Simplify right side
    646x = 326,361.59
  5. Step 5: Solve for x
    x = 326,361.59/646
  6. Step 6: Final answer
    x = 505.20

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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.