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Finding the Fourth Proportional to 320.00, 441.75 and 202.02

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Solution

The fourth proportional to 320.00, 441.75 and 202.02 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.00 : 441.75 = 202.02 : x
  2. Step 2: Convert to fraction form
    320.00/441.75 = 202.02/x
  3. Step 3: Cross multiply
    320.00x = 441.75 × 202.02
  4. Step 4: Simplify right side
    320.00x = 89,242.34
  5. Step 5: Solve for x
    x = 89,242.34/320.00
  6. Step 6: Final answer
    x = 278.89

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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.