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Finding the Fourth Proportional to 334.77, 499.16 and 334.32

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Solution

The fourth proportional to 334.77, 499.16 and 334.32 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.77 : 499.16 = 334.32 : x
  2. Step 2: Convert to fraction form
    334.77/499.16 = 334.32/x
  3. Step 3: Cross multiply
    334.77x = 499.16 × 334.32
  4. Step 4: Simplify right side
    334.77x = 166,879.17
  5. Step 5: Solve for x
    x = 166,879.17/334.77
  6. Step 6: Final answer
    x = 498.49

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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.