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Finding the Fourth Proportional to 335.18, 498.16 and 309.26

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Solution

The fourth proportional to 335.18, 498.16 and 309.26 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 498.16 = 309.26 : x
  2. Step 2: Convert to fraction form
    335.18/498.16 = 309.26/x
  3. Step 3: Cross multiply
    335.18x = 498.16 × 309.26
  4. Step 4: Simplify right side
    335.18x = 154,060.96
  5. Step 5: Solve for x
    x = 154,060.96/335.18
  6. Step 6: Final answer
    x = 459.64

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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.