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Finding the Fourth Proportional to 245.30, 366.36 and 194.00

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Solution

The fourth proportional to 245.30, 366.36 and 194.00 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 366.36 = 194.00 : x
  2. Step 2: Convert to fraction form
    245.30/366.36 = 194.00/x
  3. Step 3: Cross multiply
    245.30x = 366.36 × 194.00
  4. Step 4: Simplify right side
    245.30x = 71,071.28
  5. Step 5: Solve for x
    x = 71,071.28/245.30
  6. Step 6: Final answer
    x = 289.74

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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.