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Finding the Fourth Proportional to 313.40, 466.56 and 309.89

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Solution

The fourth proportional to 313.40, 466.56 and 309.89 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.40 : 466.56 = 309.89 : x
  2. Step 2: Convert to fraction form
    313.40/466.56 = 309.89/x
  3. Step 3: Cross multiply
    313.40x = 466.56 × 309.89
  4. Step 4: Simplify right side
    313.40x = 144,583.44
  5. Step 5: Solve for x
    x = 144,583.44/313.40
  6. Step 6: Final answer
    x = 461.33

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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.