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Finding the Fourth Proportional to 647.09, 970.25 and 208.22

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Solution

The fourth proportional to 647.09, 970.25 and 208.22 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 970.25 = 208.22 : x
  2. Step 2: Convert to fraction form
    647.09/970.25 = 208.22/x
  3. Step 3: Cross multiply
    647.09x = 970.25 × 208.22
  4. Step 4: Simplify right side
    647.09x = 202,025.46
  5. Step 5: Solve for x
    x = 202,025.46/647.09
  6. Step 6: Final answer
    x = 312.21

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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.