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Finding the Fourth Proportional to 334.47, 504.21 and 312.18

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Solution

The fourth proportional to 334.47, 504.21 and 312.18 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.47 : 504.21 = 312.18 : x
  2. Step 2: Convert to fraction form
    334.47/504.21 = 312.18/x
  3. Step 3: Cross multiply
    334.47x = 504.21 × 312.18
  4. Step 4: Simplify right side
    334.47x = 157,404.28
  5. Step 5: Solve for x
    x = 157,404.28/334.47
  6. Step 6: Final answer
    x = 470.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.