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Finding the Fourth Proportional to 209.10, 313.57 and 99.37

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Solution

The fourth proportional to 209.10, 313.57 and 99.37 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.10 : 313.57 = 99.37 : x
  2. Step 2: Convert to fraction form
    209.10/313.57 = 99.37/x
  3. Step 3: Cross multiply
    209.10x = 313.57 × 99.37
  4. Step 4: Simplify right side
    209.10x = 31,159.45
  5. Step 5: Solve for x
    x = 31,159.45/209.10
  6. Step 6: Final answer
    x = 149.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.