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Finding the Fourth Proportional to 317.76, 436.76 and 280.72

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Solution

The fourth proportional to 317.76, 436.76 and 280.72 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 436.76 = 280.72 : x
  2. Step 2: Convert to fraction form
    317.76/436.76 = 280.72/x
  3. Step 3: Cross multiply
    317.76x = 436.76 × 280.72
  4. Step 4: Simplify right side
    317.76x = 122,607.27
  5. Step 5: Solve for x
    x = 122,607.27/317.76
  6. Step 6: Final answer
    x = 385.85

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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.