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Finding the Fourth Proportional to 351.98, 525.20 and 317.42

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Solution

The fourth proportional to 351.98, 525.20 and 317.42 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.98 : 525.20 = 317.42 : x
  2. Step 2: Convert to fraction form
    351.98/525.20 = 317.42/x
  3. Step 3: Cross multiply
    351.98x = 525.20 × 317.42
  4. Step 4: Simplify right side
    351.98x = 166,704.77
  5. Step 5: Solve for x
    x = 166,704.77/351.98
  6. Step 6: Final answer
    x = 473.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.