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Finding the Fourth Proportional to 334.53, 504.31 and 312.23

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Solution

The fourth proportional to 334.53, 504.31 and 312.23 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.53 : 504.31 = 312.23 : x
  2. Step 2: Convert to fraction form
    334.53/504.31 = 312.23/x
  3. Step 3: Cross multiply
    334.53x = 504.31 × 312.23
  4. Step 4: Simplify right side
    334.53x = 157,460.71
  5. Step 5: Solve for x
    x = 157,460.71/334.53
  6. Step 6: Final answer
    x = 470.69

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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.