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Finding the Fourth Proportional to 442.08, 610.40 and 311.28

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Solution

The fourth proportional to 442.08, 610.40 and 311.28 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 610.40 = 311.28 : x
  2. Step 2: Convert to fraction form
    442.08/610.40 = 311.28/x
  3. Step 3: Cross multiply
    442.08x = 610.40 × 311.28
  4. Step 4: Simplify right side
    442.08x = 190,005.31
  5. Step 5: Solve for x
    x = 190,005.31/442.08
  6. Step 6: Final answer
    x = 429.80

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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.