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Finding the Fourth Proportional to 320.64, 442.50 and 204.12

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Solution

The fourth proportional to 320.64, 442.50 and 204.12 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 442.50 = 204.12 : x
  2. Step 2: Convert to fraction form
    320.64/442.50 = 204.12/x
  3. Step 3: Cross multiply
    320.64x = 442.50 × 204.12
  4. Step 4: Simplify right side
    320.64x = 90,323.10
  5. Step 5: Solve for x
    x = 90,323.10/320.64
  6. Step 6: Final answer
    x = 281.70

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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.