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Finding the Fourth Proportional to 330.30, 455.98 and 232.58

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Solution

The fourth proportional to 330.30, 455.98 and 232.58 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 455.98 = 232.58 : x
  2. Step 2: Convert to fraction form
    330.30/455.98 = 232.58/x
  3. Step 3: Cross multiply
    330.30x = 455.98 × 232.58
  4. Step 4: Simplify right side
    330.30x = 106,051.83
  5. Step 5: Solve for x
    x = 106,051.83/330.30
  6. Step 6: Final answer
    x = 321.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.