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Finding the Fourth Proportional to 333.80, 498.20 and 311.93

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Solution

The fourth proportional to 333.80, 498.20 and 311.93 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 498.20 = 311.93 : x
  2. Step 2: Convert to fraction form
    333.80/498.20 = 311.93/x
  3. Step 3: Cross multiply
    333.80x = 498.20 × 311.93
  4. Step 4: Simplify right side
    333.80x = 155,403.21
  5. Step 5: Solve for x
    x = 155,403.21/333.80
  6. Step 6: Final answer
    x = 465.55

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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.