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Finding the Fourth Proportional to 402.94, 556.29 and 309.50

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Solution

The fourth proportional to 402.94, 556.29 and 309.50 is: 427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 556.29 = 309.50 : x
  2. Step 2: Convert to fraction form
    402.94/556.29 = 309.50/x
  3. Step 3: Cross multiply
    402.94x = 556.29 × 309.50
  4. Step 4: Simplify right side
    402.94x = 172,173.22
  5. Step 5: Solve for x
    x = 172,173.22/402.94
  6. Step 6: Final answer
    x = 427.29

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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.