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Finding the Fourth Proportional to 305.72, 423.80 and 295.64

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Solution

The fourth proportional to 305.72, 423.80 and 295.64 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.72 : 423.80 = 295.64 : x
  2. Step 2: Convert to fraction form
    305.72/423.80 = 295.64/x
  3. Step 3: Cross multiply
    305.72x = 423.80 × 295.64
  4. Step 4: Simplify right side
    305.72x = 125,292.23
  5. Step 5: Solve for x
    x = 125,292.23/305.72
  6. Step 6: Final answer
    x = 409.83

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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.