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Finding the Fourth Proportional to 245.60, 366.29 and 209.27

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Solution

The fourth proportional to 245.60, 366.29 and 209.27 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.60 : 366.29 = 209.27 : x
  2. Step 2: Convert to fraction form
    245.60/366.29 = 209.27/x
  3. Step 3: Cross multiply
    245.60x = 366.29 × 209.27
  4. Step 4: Simplify right side
    245.60x = 76,653.51
  5. Step 5: Solve for x
    x = 76,653.51/245.60
  6. Step 6: Final answer
    x = 312.11

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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.