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Finding the Fourth Proportional to 313.16, 468.77 and 239.85

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Solution

The fourth proportional to 313.16, 468.77 and 239.85 is: 359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 468.77 = 239.85 : x
  2. Step 2: Convert to fraction form
    313.16/468.77 = 239.85/x
  3. Step 3: Cross multiply
    313.16x = 468.77 × 239.85
  4. Step 4: Simplify right side
    313.16x = 112,433.29
  5. Step 5: Solve for x
    x = 112,433.29/313.16
  6. Step 6: Final answer
    x = 359.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.