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Finding the Fourth Proportional to 291.86, 403.36 and 233.54

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Solution

The fourth proportional to 291.86, 403.36 and 233.54 is: 322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 403.36 = 233.54 : x
  2. Step 2: Convert to fraction form
    291.86/403.36 = 233.54/x
  3. Step 3: Cross multiply
    291.86x = 403.36 × 233.54
  4. Step 4: Simplify right side
    291.86x = 94,200.69
  5. Step 5: Solve for x
    x = 94,200.69/291.86
  6. Step 6: Final answer
    x = 322.76

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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.