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Finding the Fourth Proportional to 333.66, 497.24 and 309.63

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Solution

The fourth proportional to 333.66, 497.24 and 309.63 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.66 : 497.24 = 309.63 : x
  2. Step 2: Convert to fraction form
    333.66/497.24 = 309.63/x
  3. Step 3: Cross multiply
    333.66x = 497.24 × 309.63
  4. Step 4: Simplify right side
    333.66x = 153,960.42
  5. Step 5: Solve for x
    x = 153,960.42/333.66
  6. Step 6: Final answer
    x = 461.43

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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.