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Finding the Fourth Proportional to 362.10, 542.99 and 105.54

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Solution

The fourth proportional to 362.10, 542.99 and 105.54 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 542.99 = 105.54 : x
  2. Step 2: Convert to fraction form
    362.10/542.99 = 105.54/x
  3. Step 3: Cross multiply
    362.10x = 542.99 × 105.54
  4. Step 4: Simplify right side
    362.10x = 57,307.16
  5. Step 5: Solve for x
    x = 57,307.16/362.10
  6. Step 6: Final answer
    x = 158.26

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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.