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Finding the Fourth Proportional to 429.23, 591.64 and 304.70

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Solution

The fourth proportional to 429.23, 591.64 and 304.70 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 591.64 = 304.70 : x
  2. Step 2: Convert to fraction form
    429.23/591.64 = 304.70/x
  3. Step 3: Cross multiply
    429.23x = 591.64 × 304.70
  4. Step 4: Simplify right side
    429.23x = 180,268.99
  5. Step 5: Solve for x
    x = 180,268.99/429.23
  6. Step 6: Final answer
    x = 419.99

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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.