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Finding the Fourth Proportional to 315.44, 470.04 and 301.49

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Solution

The fourth proportional to 315.44, 470.04 and 301.49 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.44 : 470.04 = 301.49 : x
  2. Step 2: Convert to fraction form
    315.44/470.04 = 301.49/x
  3. Step 3: Cross multiply
    315.44x = 470.04 × 301.49
  4. Step 4: Simplify right side
    315.44x = 141,710.85
  5. Step 5: Solve for x
    x = 141,710.85/315.44
  6. Step 6: Final answer
    x = 449.25

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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.