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Finding the Fourth Proportional to 245.55, 366.33 and 209.25

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Solution

The fourth proportional to 245.55, 366.33 and 209.25 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.55 : 366.33 = 209.25 : x
  2. Step 2: Convert to fraction form
    245.55/366.33 = 209.25/x
  3. Step 3: Cross multiply
    245.55x = 366.33 × 209.25
  4. Step 4: Simplify right side
    245.55x = 76,654.55
  5. Step 5: Solve for x
    x = 76,654.55/245.55
  6. Step 6: Final answer
    x = 312.17

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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.