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Finding the Fourth Proportional to 331.77, 497.70 and 193.01

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Solution

The fourth proportional to 331.77, 497.70 and 193.01 is: 289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.77 : 497.70 = 193.01 : x
  2. Step 2: Convert to fraction form
    331.77/497.70 = 193.01/x
  3. Step 3: Cross multiply
    331.77x = 497.70 × 193.01
  4. Step 4: Simplify right side
    331.77x = 96,058.59
  5. Step 5: Solve for x
    x = 96,058.59/331.77
  6. Step 6: Final answer
    x = 289.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.