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Finding the Fourth Proportional to 209.01, 312.05 and 184.40

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Solution

The fourth proportional to 209.01, 312.05 and 184.40 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 312.05 = 184.40 : x
  2. Step 2: Convert to fraction form
    209.01/312.05 = 184.40/x
  3. Step 3: Cross multiply
    209.01x = 312.05 × 184.40
  4. Step 4: Simplify right side
    209.01x = 57,542.02
  5. Step 5: Solve for x
    x = 57,542.02/209.01
  6. Step 6: Final answer
    x = 275.31

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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.