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Finding the Fourth Proportional to 443.30, 610.61 and 312.08

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Solution

The fourth proportional to 443.30, 610.61 and 312.08 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 610.61 = 312.08 : x
  2. Step 2: Convert to fraction form
    443.30/610.61 = 312.08/x
  3. Step 3: Cross multiply
    443.30x = 610.61 × 312.08
  4. Step 4: Simplify right side
    443.30x = 190,554.56
  5. Step 5: Solve for x
    x = 190,554.56/443.30
  6. Step 6: Final answer
    x = 429.86

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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.