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Finding the Fourth Proportional to 209.56, 312.65 and 202.60

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Solution

The fourth proportional to 209.56, 312.65 and 202.60 is: 302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 312.65 = 202.60 : x
  2. Step 2: Convert to fraction form
    209.56/312.65 = 202.60/x
  3. Step 3: Cross multiply
    209.56x = 312.65 × 202.60
  4. Step 4: Simplify right side
    209.56x = 63,342.89
  5. Step 5: Solve for x
    x = 63,342.89/209.56
  6. Step 6: Final answer
    x = 302.27

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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.