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Finding the Fourth Proportional to 295.45, 407.43 and 233.18

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Solution

The fourth proportional to 295.45, 407.43 and 233.18 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.43 = 233.18 : x
  2. Step 2: Convert to fraction form
    295.45/407.43 = 233.18/x
  3. Step 3: Cross multiply
    295.45x = 407.43 × 233.18
  4. Step 4: Simplify right side
    295.45x = 95,004.02
  5. Step 5: Solve for x
    x = 95,004.02/295.45
  6. Step 6: Final answer
    x = 321.56

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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.