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Finding the Fourth Proportional to 340.40, 471.80 and 308

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Solution

The fourth proportional to 340.40, 471.80 and 308 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 471.80 = 308 : x
  2. Step 2: Convert to fraction form
    340.40/471.80 = 308/x
  3. Step 3: Cross multiply
    340.40x = 471.80 × 308
  4. Step 4: Simplify right side
    340.40x = 145,314.40
  5. Step 5: Solve for x
    x = 145,314.40/340.40
  6. Step 6: Final answer
    x = 426.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.