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Finding the Fourth Proportional to 315.80, 470.50 and 300.30

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Solution

The fourth proportional to 315.80, 470.50 and 300.30 is: 447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 470.50 = 300.30 : x
  2. Step 2: Convert to fraction form
    315.80/470.50 = 300.30/x
  3. Step 3: Cross multiply
    315.80x = 470.50 × 300.30
  4. Step 4: Simplify right side
    315.80x = 141,291.15
  5. Step 5: Solve for x
    x = 141,291.15/315.80
  6. Step 6: Final answer
    x = 447.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.