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Finding the Fourth Proportional to 333.63, 497.94 and 312.21

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Solution

The fourth proportional to 333.63, 497.94 and 312.21 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.63 : 497.94 = 312.21 : x
  2. Step 2: Convert to fraction form
    333.63/497.94 = 312.21/x
  3. Step 3: Cross multiply
    333.63x = 497.94 × 312.21
  4. Step 4: Simplify right side
    333.63x = 155,461.85
  5. Step 5: Solve for x
    x = 155,461.85/333.63
  6. Step 6: Final answer
    x = 465.97

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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.