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Finding the Fourth Proportional to 566.36, 849.54 and 155.54

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Solution

The fourth proportional to 566.36, 849.54 and 155.54 is: 233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.36 : 849.54 = 155.54 : x
  2. Step 2: Convert to fraction form
    566.36/849.54 = 155.54/x
  3. Step 3: Cross multiply
    566.36x = 849.54 × 155.54
  4. Step 4: Simplify right side
    566.36x = 132,133.20
  5. Step 5: Solve for x
    x = 132,133.20/566.36
  6. Step 6: Final answer
    x = 233.30

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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.