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Finding the Fourth Proportional to 334.50, 498.74 and 316.14

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Solution

The fourth proportional to 334.50, 498.74 and 316.14 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.50 : 498.74 = 316.14 : x
  2. Step 2: Convert to fraction form
    334.50/498.74 = 316.14/x
  3. Step 3: Cross multiply
    334.50x = 498.74 × 316.14
  4. Step 4: Simplify right side
    334.50x = 157,670.08
  5. Step 5: Solve for x
    x = 157,670.08/334.50
  6. Step 6: Final answer
    x = 471.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.