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Finding the Fourth Proportional to 402.53, 556.00 and 310.40

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Solution

The fourth proportional to 402.53, 556.00 and 310.40 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.53 : 556.00 = 310.40 : x
  2. Step 2: Convert to fraction form
    402.53/556.00 = 310.40/x
  3. Step 3: Cross multiply
    402.53x = 556.00 × 310.40
  4. Step 4: Simplify right side
    402.53x = 172,578.84
  5. Step 5: Solve for x
    x = 172,578.84/402.53
  6. Step 6: Final answer
    x = 428.73

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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.