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Finding the Fourth Proportional to 318.29, 436.91 and 293.67

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Solution

The fourth proportional to 318.29, 436.91 and 293.67 is: 403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.29 : 436.91 = 293.67 : x
  2. Step 2: Convert to fraction form
    318.29/436.91 = 293.67/x
  3. Step 3: Cross multiply
    318.29x = 436.91 × 293.67
  4. Step 4: Simplify right side
    318.29x = 128,305.89
  5. Step 5: Solve for x
    x = 128,305.89/318.29
  6. Step 6: Final answer
    x = 403.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.