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Finding the Fourth Proportional to 292.23, 405.70 and 283.32

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Solution

The fourth proportional to 292.23, 405.70 and 283.32 is: 393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 405.70 = 283.32 : x
  2. Step 2: Convert to fraction form
    292.23/405.70 = 283.32/x
  3. Step 3: Cross multiply
    292.23x = 405.70 × 283.32
  4. Step 4: Simplify right side
    292.23x = 114,942.22
  5. Step 5: Solve for x
    x = 114,942.22/292.23
  6. Step 6: Final answer
    x = 393.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.