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Finding the Fourth Proportional to 524.30, 786.42 and 139.54

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Solution

The fourth proportional to 524.30, 786.42 and 139.54 is: 209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 786.42 = 139.54 : x
  2. Step 2: Convert to fraction form
    524.30/786.42 = 139.54/x
  3. Step 3: Cross multiply
    524.30x = 786.42 × 139.54
  4. Step 4: Simplify right side
    524.30x = 109,737.05
  5. Step 5: Solve for x
    x = 109,737.05/524.30
  6. Step 6: Final answer
    x = 209.30

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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.