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Finding the Fourth Proportional to 312.85, 466.99 and 292.33

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Solution

The fourth proportional to 312.85, 466.99 and 292.33 is: 436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 466.99 = 292.33 : x
  2. Step 2: Convert to fraction form
    312.85/466.99 = 292.33/x
  3. Step 3: Cross multiply
    312.85x = 466.99 × 292.33
  4. Step 4: Simplify right side
    312.85x = 136,515.19
  5. Step 5: Solve for x
    x = 136,515.19/312.85
  6. Step 6: Final answer
    x = 436.36

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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.