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Finding the Fourth Proportional to 313.52, 430.30 and 287.60

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Solution

The fourth proportional to 313.52, 430.30 and 287.60 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 430.30 = 287.60 : x
  2. Step 2: Convert to fraction form
    313.52/430.30 = 287.60/x
  3. Step 3: Cross multiply
    313.52x = 430.30 × 287.60
  4. Step 4: Simplify right side
    313.52x = 123,754.28
  5. Step 5: Solve for x
    x = 123,754.28/313.52
  6. Step 6: Final answer
    x = 394.73

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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.