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Finding the Fourth Proportional to 648.98, 973.49 and 186.78

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Solution

The fourth proportional to 648.98, 973.49 and 186.78 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 973.49 = 186.78 : x
  2. Step 2: Convert to fraction form
    648.98/973.49 = 186.78/x
  3. Step 3: Cross multiply
    648.98x = 973.49 × 186.78
  4. Step 4: Simplify right side
    648.98x = 181,827.53
  5. Step 5: Solve for x
    x = 181,827.53/648.98
  6. Step 6: Final answer
    x = 280.18

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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.