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Finding the Fourth Proportional to 526.62, 789.47 and 202.21

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Solution

The fourth proportional to 526.62, 789.47 and 202.21 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.62 : 789.47 = 202.21 : x
  2. Step 2: Convert to fraction form
    526.62/789.47 = 202.21/x
  3. Step 3: Cross multiply
    526.62x = 789.47 × 202.21
  4. Step 4: Simplify right side
    526.62x = 159,638.73
  5. Step 5: Solve for x
    x = 159,638.73/526.62
  6. Step 6: Final answer
    x = 303.14

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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.