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Finding the Fourth Proportional to 320.24, 442.11 and 257.06

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Solution

The fourth proportional to 320.24, 442.11 and 257.06 is: 354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 442.11 = 257.06 : x
  2. Step 2: Convert to fraction form
    320.24/442.11 = 257.06/x
  3. Step 3: Cross multiply
    320.24x = 442.11 × 257.06
  4. Step 4: Simplify right side
    320.24x = 113,648.80
  5. Step 5: Solve for x
    x = 113,648.80/320.24
  6. Step 6: Final answer
    x = 354.89

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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.