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Finding the Fourth Proportional to 429.30, 591.57 and 305.10

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Solution

The fourth proportional to 429.30, 591.57 and 305.10 is: 420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 591.57 = 305.10 : x
  2. Step 2: Convert to fraction form
    429.30/591.57 = 305.10/x
  3. Step 3: Cross multiply
    429.30x = 591.57 × 305.10
  4. Step 4: Simplify right side
    429.30x = 180,488.01
  5. Step 5: Solve for x
    x = 180,488.01/429.30
  6. Step 6: Final answer
    x = 420.42

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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.