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Finding the Fourth Proportional to 333.86, 497.51 and 331.02

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Solution

The fourth proportional to 333.86, 497.51 and 331.02 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 497.51 = 331.02 : x
  2. Step 2: Convert to fraction form
    333.86/497.51 = 331.02/x
  3. Step 3: Cross multiply
    333.86x = 497.51 × 331.02
  4. Step 4: Simplify right side
    333.86x = 164,685.35
  5. Step 5: Solve for x
    x = 164,685.35/333.86
  6. Step 6: Final answer
    x = 493.28

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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.