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Finding the Fourth Proportional to 317.28, 436.06 and 280.20

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Solution

The fourth proportional to 317.28, 436.06 and 280.20 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 436.06 = 280.20 : x
  2. Step 2: Convert to fraction form
    317.28/436.06 = 280.20/x
  3. Step 3: Cross multiply
    317.28x = 436.06 × 280.20
  4. Step 4: Simplify right side
    317.28x = 122,184.01
  5. Step 5: Solve for x
    x = 122,184.01/317.28
  6. Step 6: Final answer
    x = 385.10

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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.