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Finding the Fourth Proportional to 341.78, 468.99 and 310.59

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Solution

The fourth proportional to 341.78, 468.99 and 310.59 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 468.99 = 310.59 : x
  2. Step 2: Convert to fraction form
    341.78/468.99 = 310.59/x
  3. Step 3: Cross multiply
    341.78x = 468.99 × 310.59
  4. Step 4: Simplify right side
    341.78x = 145,663.60
  5. Step 5: Solve for x
    x = 145,663.60/341.78
  6. Step 6: Final answer
    x = 426.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.