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Finding the Fourth Proportional to 648.96, 973.38 and 264.18

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Solution

The fourth proportional to 648.96, 973.38 and 264.18 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 973.38 = 264.18 : x
  2. Step 2: Convert to fraction form
    648.96/973.38 = 264.18/x
  3. Step 3: Cross multiply
    648.96x = 973.38 × 264.18
  4. Step 4: Simplify right side
    648.96x = 257,147.53
  5. Step 5: Solve for x
    x = 257,147.53/648.96
  6. Step 6: Final answer
    x = 396.25

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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.