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Finding the Fourth Proportional to 337.05, 504.12 and 312.45

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Solution

The fourth proportional to 337.05, 504.12 and 312.45 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.05 : 504.12 = 312.45 : x
  2. Step 2: Convert to fraction form
    337.05/504.12 = 312.45/x
  3. Step 3: Cross multiply
    337.05x = 504.12 × 312.45
  4. Step 4: Simplify right side
    337.05x = 157,512.29
  5. Step 5: Solve for x
    x = 157,512.29/337.05
  6. Step 6: Final answer
    x = 467.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.