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Finding the Fourth Proportional to 320.64, 442.50 and 180.78

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Solution

The fourth proportional to 320.64, 442.50 and 180.78 is: 249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 442.50 = 180.78 : x
  2. Step 2: Convert to fraction form
    320.64/442.50 = 180.78/x
  3. Step 3: Cross multiply
    320.64x = 442.50 × 180.78
  4. Step 4: Simplify right side
    320.64x = 79,995.15
  5. Step 5: Solve for x
    x = 79,995.15/320.64
  6. Step 6: Final answer
    x = 249.49

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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.