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Finding the Fourth Proportional to 306.18, 419.31 and 302.13

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Solution

The fourth proportional to 306.18, 419.31 and 302.13 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 419.31 = 302.13 : x
  2. Step 2: Convert to fraction form
    306.18/419.31 = 302.13/x
  3. Step 3: Cross multiply
    306.18x = 419.31 × 302.13
  4. Step 4: Simplify right side
    306.18x = 126,686.13
  5. Step 5: Solve for x
    x = 126,686.13/306.18
  6. Step 6: Final answer
    x = 413.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.