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Finding the Fourth Proportional to 656.13, 983.60 and 222.99

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Solution

The fourth proportional to 656.13, 983.60 and 222.99 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.13 : 983.60 = 222.99 : x
  2. Step 2: Convert to fraction form
    656.13/983.60 = 222.99/x
  3. Step 3: Cross multiply
    656.13x = 983.60 × 222.99
  4. Step 4: Simplify right side
    656.13x = 219,331.85
  5. Step 5: Solve for x
    x = 219,331.85/656.13
  6. Step 6: Final answer
    x = 334.28

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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.