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Finding the Fourth Proportional to 333.64, 460.54 and 202.64

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Solution

The fourth proportional to 333.64, 460.54 and 202.64 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.64 : 460.54 = 202.64 : x
  2. Step 2: Convert to fraction form
    333.64/460.54 = 202.64/x
  3. Step 3: Cross multiply
    333.64x = 460.54 × 202.64
  4. Step 4: Simplify right side
    333.64x = 93,323.83
  5. Step 5: Solve for x
    x = 93,323.83/333.64
  6. Step 6: Final answer
    x = 279.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.