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Finding the Fourth Proportional to 337.81, 466.39 and 302.78

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Solution

The fourth proportional to 337.81, 466.39 and 302.78 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.81 : 466.39 = 302.78 : x
  2. Step 2: Convert to fraction form
    337.81/466.39 = 302.78/x
  3. Step 3: Cross multiply
    337.81x = 466.39 × 302.78
  4. Step 4: Simplify right side
    337.81x = 141,211.23
  5. Step 5: Solve for x
    x = 141,211.23/337.81
  6. Step 6: Final answer
    x = 418.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.