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Finding the Fourth Proportional to 313.88, 471.88 and 288.26

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Solution

The fourth proportional to 313.88, 471.88 and 288.26 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 471.88 = 288.26 : x
  2. Step 2: Convert to fraction form
    313.88/471.88 = 288.26/x
  3. Step 3: Cross multiply
    313.88x = 471.88 × 288.26
  4. Step 4: Simplify right side
    313.88x = 136,023.90
  5. Step 5: Solve for x
    x = 136,023.90/313.88
  6. Step 6: Final answer
    x = 433.37

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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.