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Finding the Fourth Proportional to 553.10, 829.36 and 187.77

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Solution

The fourth proportional to 553.10, 829.36 and 187.77 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 829.36 = 187.77 : x
  2. Step 2: Convert to fraction form
    553.10/829.36 = 187.77/x
  3. Step 3: Cross multiply
    553.10x = 829.36 × 187.77
  4. Step 4: Simplify right side
    553.10x = 155,728.93
  5. Step 5: Solve for x
    x = 155,728.93/553.10
  6. Step 6: Final answer
    x = 281.56

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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.