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Finding the Fourth Proportional to 614.80, 848.34 and 338.80

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Solution

The fourth proportional to 614.80, 848.34 and 338.80 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 848.34 = 338.80 : x
  2. Step 2: Convert to fraction form
    614.80/848.34 = 338.80/x
  3. Step 3: Cross multiply
    614.80x = 848.34 × 338.80
  4. Step 4: Simplify right side
    614.80x = 287,417.59
  5. Step 5: Solve for x
    x = 287,417.59/614.80
  6. Step 6: Final answer
    x = 467.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.