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Finding the Fourth Proportional to 317.23, 436.77 and 277.85

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Solution

The fourth proportional to 317.23, 436.77 and 277.85 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.23 : 436.77 = 277.85 : x
  2. Step 2: Convert to fraction form
    317.23/436.77 = 277.85/x
  3. Step 3: Cross multiply
    317.23x = 436.77 × 277.85
  4. Step 4: Simplify right side
    317.23x = 121,354.96
  5. Step 5: Solve for x
    x = 121,354.96/317.23
  6. Step 6: Final answer
    x = 382.54

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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.