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Finding the Fourth Proportional to 525.21, 787.88 and 200.53

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Solution

The fourth proportional to 525.21, 787.88 and 200.53 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.21 : 787.88 = 200.53 : x
  2. Step 2: Convert to fraction form
    525.21/787.88 = 200.53/x
  3. Step 3: Cross multiply
    525.21x = 787.88 × 200.53
  4. Step 4: Simplify right side
    525.21x = 157,993.58
  5. Step 5: Solve for x
    x = 157,993.58/525.21
  6. Step 6: Final answer
    x = 300.82

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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.