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Finding the Fourth Proportional to 223.00, 307.91 and 174.02

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Solution

The fourth proportional to 223.00, 307.91 and 174.02 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.00 : 307.91 = 174.02 : x
  2. Step 2: Convert to fraction form
    223.00/307.91 = 174.02/x
  3. Step 3: Cross multiply
    223.00x = 307.91 × 174.02
  4. Step 4: Simplify right side
    223.00x = 53,581.39
  5. Step 5: Solve for x
    x = 53,581.39/223.00
  6. Step 6: Final answer
    x = 240.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.