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Finding the Fourth Proportional to 787.40, 1,181.10 and 210.27

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Solution

The fourth proportional to 787.40, 1,181.10 and 210.27 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.40 : 1,181.10 = 210.27 : x
  2. Step 2: Convert to fraction form
    787.40/1,181.10 = 210.27/x
  3. Step 3: Cross multiply
    787.40x = 1,181.10 × 210.27
  4. Step 4: Simplify right side
    787.40x = 248,349.90
  5. Step 5: Solve for x
    x = 248,349.90/787.40
  6. Step 6: Final answer
    x = 315.41

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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.