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Finding the Fourth Proportional to 524.76, 787.16 and 195.78

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Solution

The fourth proportional to 524.76, 787.16 and 195.78 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 787.16 = 195.78 : x
  2. Step 2: Convert to fraction form
    524.76/787.16 = 195.78/x
  3. Step 3: Cross multiply
    524.76x = 787.16 × 195.78
  4. Step 4: Simplify right side
    524.76x = 154,110.18
  5. Step 5: Solve for x
    x = 154,110.18/524.76
  6. Step 6: Final answer
    x = 293.68

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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.