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Finding the Fourth Proportional to 209.21, 312.44 and 175.00

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Solution

The fourth proportional to 209.21, 312.44 and 175.00 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 312.44 = 175.00 : x
  2. Step 2: Convert to fraction form
    209.21/312.44 = 175.00/x
  3. Step 3: Cross multiply
    209.21x = 312.44 × 175.00
  4. Step 4: Simplify right side
    209.21x = 54,677.21
  5. Step 5: Solve for x
    x = 54,677.21/209.21
  6. Step 6: Final answer
    x = 261.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.