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Finding the Fourth Proportional to 344.24, 513.58 and 312.80

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Solution

The fourth proportional to 344.24, 513.58 and 312.80 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.24 : 513.58 = 312.80 : x
  2. Step 2: Convert to fraction form
    344.24/513.58 = 312.80/x
  3. Step 3: Cross multiply
    344.24x = 513.58 × 312.80
  4. Step 4: Simplify right side
    344.24x = 160,647.82
  5. Step 5: Solve for x
    x = 160,647.82/344.24
  6. Step 6: Final answer
    x = 466.67

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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.