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Finding the Fourth Proportional to 209.13, 313.51 and 99.38

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Solution

The fourth proportional to 209.13, 313.51 and 99.38 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 313.51 = 99.38 : x
  2. Step 2: Convert to fraction form
    209.13/313.51 = 99.38/x
  3. Step 3: Cross multiply
    209.13x = 313.51 × 99.38
  4. Step 4: Simplify right side
    209.13x = 31,155.06
  5. Step 5: Solve for x
    x = 31,155.06/209.13
  6. Step 6: Final answer
    x = 148.98

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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.