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Finding the Fourth Proportional to 320.55, 442.35 and 180.66

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Solution

The fourth proportional to 320.55, 442.35 and 180.66 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 442.35 = 180.66 : x
  2. Step 2: Convert to fraction form
    320.55/442.35 = 180.66/x
  3. Step 3: Cross multiply
    320.55x = 442.35 × 180.66
  4. Step 4: Simplify right side
    320.55x = 79,914.27
  5. Step 5: Solve for x
    x = 79,914.27/320.55
  6. Step 6: Final answer
    x = 249.31

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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.