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Finding the Fourth Proportional to 315.36, 470.43 and 264.33

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Solution

The fourth proportional to 315.36, 470.43 and 264.33 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.36 : 470.43 = 264.33 : x
  2. Step 2: Convert to fraction form
    315.36/470.43 = 264.33/x
  3. Step 3: Cross multiply
    315.36x = 470.43 × 264.33
  4. Step 4: Simplify right side
    315.36x = 124,348.76
  5. Step 5: Solve for x
    x = 124,348.76/315.36
  6. Step 6: Final answer
    x = 394.31

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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.