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Finding the Fourth Proportional to 292.59, 403.42 and 233.39

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Solution

The fourth proportional to 292.59, 403.42 and 233.39 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 403.42 = 233.39 : x
  2. Step 2: Convert to fraction form
    292.59/403.42 = 233.39/x
  3. Step 3: Cross multiply
    292.59x = 403.42 × 233.39
  4. Step 4: Simplify right side
    292.59x = 94,152.60
  5. Step 5: Solve for x
    x = 94,152.60/292.59
  6. Step 6: Final answer
    x = 321.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.