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Finding the Fourth Proportional to 305.01, 456.44 and 212.01

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Solution

The fourth proportional to 305.01, 456.44 and 212.01 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 456.44 = 212.01 : x
  2. Step 2: Convert to fraction form
    305.01/456.44 = 212.01/x
  3. Step 3: Cross multiply
    305.01x = 456.44 × 212.01
  4. Step 4: Simplify right side
    305.01x = 96,768.78
  5. Step 5: Solve for x
    x = 96,768.78/305.01
  6. Step 6: Final answer
    x = 317.26

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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.