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Finding the Fourth Proportional to 648.89, 973.31 and 161.95

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Solution

The fourth proportional to 648.89, 973.31 and 161.95 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.89 : 973.31 = 161.95 : x
  2. Step 2: Convert to fraction form
    648.89/973.31 = 161.95/x
  3. Step 3: Cross multiply
    648.89x = 973.31 × 161.95
  4. Step 4: Simplify right side
    648.89x = 157,624.31
  5. Step 5: Solve for x
    x = 157,624.31/648.89
  6. Step 6: Final answer
    x = 242.91

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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.