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Finding the Fourth Proportional to 429.15, 591.52 and 304.60

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Solution

The fourth proportional to 429.15, 591.52 and 304.60 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 591.52 = 304.60 : x
  2. Step 2: Convert to fraction form
    429.15/591.52 = 304.60/x
  3. Step 3: Cross multiply
    429.15x = 591.52 × 304.60
  4. Step 4: Simplify right side
    429.15x = 180,176.99
  5. Step 5: Solve for x
    x = 180,176.99/429.15
  6. Step 6: Final answer
    x = 419.85

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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.