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Finding the Fourth Proportional to 567.78, 852 and 202.88

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Solution

The fourth proportional to 567.78, 852 and 202.88 is: 304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 852 = 202.88 : x
  2. Step 2: Convert to fraction form
    567.78/852 = 202.88/x
  3. Step 3: Cross multiply
    567.78x = 852 × 202.88
  4. Step 4: Simplify right side
    567.78x = 172,853.76
  5. Step 5: Solve for x
    x = 172,853.76/567.78
  6. Step 6: Final answer
    x = 304.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.