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Finding the Fourth Proportional to 331.17, 454.19 and 322.93

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Solution

The fourth proportional to 331.17, 454.19 and 322.93 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 454.19 = 322.93 : x
  2. Step 2: Convert to fraction form
    331.17/454.19 = 322.93/x
  3. Step 3: Cross multiply
    331.17x = 454.19 × 322.93
  4. Step 4: Simplify right side
    331.17x = 146,671.58
  5. Step 5: Solve for x
    x = 146,671.58/331.17
  6. Step 6: Final answer
    x = 442.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.