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Finding the Fourth Proportional to 313.22, 472.23 and 283.84

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Solution

The fourth proportional to 313.22, 472.23 and 283.84 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.22 : 472.23 = 283.84 : x
  2. Step 2: Convert to fraction form
    313.22/472.23 = 283.84/x
  3. Step 3: Cross multiply
    313.22x = 472.23 × 283.84
  4. Step 4: Simplify right side
    313.22x = 134,036.58
  5. Step 5: Solve for x
    x = 134,036.58/313.22
  6. Step 6: Final answer
    x = 427.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.