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Finding the Fourth Proportional to 318.47, 440.26 and 285.67

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Solution

The fourth proportional to 318.47, 440.26 and 285.67 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 440.26 = 285.67 : x
  2. Step 2: Convert to fraction form
    318.47/440.26 = 285.67/x
  3. Step 3: Cross multiply
    318.47x = 440.26 × 285.67
  4. Step 4: Simplify right side
    318.47x = 125,767.26
  5. Step 5: Solve for x
    x = 125,767.26/318.47
  6. Step 6: Final answer
    x = 394.91

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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.