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Finding the Fourth Proportional to 525.30, 787.82 and 200.50

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Solution

The fourth proportional to 525.30, 787.82 and 200.50 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 787.82 = 200.50 : x
  2. Step 2: Convert to fraction form
    525.30/787.82 = 200.50/x
  3. Step 3: Cross multiply
    525.30x = 787.82 × 200.50
  4. Step 4: Simplify right side
    525.30x = 157,957.91
  5. Step 5: Solve for x
    x = 157,957.91/525.30
  6. Step 6: Final answer
    x = 300.70

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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.