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Finding the Fourth Proportional to 429.16, 591.30 and 330.70

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Solution

The fourth proportional to 429.16, 591.30 and 330.70 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 591.30 = 330.70 : x
  2. Step 2: Convert to fraction form
    429.16/591.30 = 330.70/x
  3. Step 3: Cross multiply
    429.16x = 591.30 × 330.70
  4. Step 4: Simplify right side
    429.16x = 195,542.91
  5. Step 5: Solve for x
    x = 195,542.91/429.16
  6. Step 6: Final answer
    x = 455.64

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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.