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Finding the Fourth Proportional to 342.83, 515.37 and 317.46

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Solution

The fourth proportional to 342.83, 515.37 and 317.46 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.83 : 515.37 = 317.46 : x
  2. Step 2: Convert to fraction form
    342.83/515.37 = 317.46/x
  3. Step 3: Cross multiply
    342.83x = 515.37 × 317.46
  4. Step 4: Simplify right side
    342.83x = 163,610.55
  5. Step 5: Solve for x
    x = 163,610.55/342.83
  6. Step 6: Final answer
    x = 477.24

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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.