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Finding the Fourth Proportional to 245.80, 339.06 and 213.00

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Solution

The fourth proportional to 245.80, 339.06 and 213.00 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 339.06 = 213.00 : x
  2. Step 2: Convert to fraction form
    245.80/339.06 = 213.00/x
  3. Step 3: Cross multiply
    245.80x = 339.06 × 213.00
  4. Step 4: Simplify right side
    245.80x = 72,218.08
  5. Step 5: Solve for x
    x = 72,218.08/245.80
  6. Step 6: Final answer
    x = 293.81

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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.