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Finding the Fourth Proportional to 358.33, 537.54 and 114.80

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Solution

The fourth proportional to 358.33, 537.54 and 114.80 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.33 : 537.54 = 114.80 : x
  2. Step 2: Convert to fraction form
    358.33/537.54 = 114.80/x
  3. Step 3: Cross multiply
    358.33x = 537.54 × 114.80
  4. Step 4: Simplify right side
    358.33x = 61,709.02
  5. Step 5: Solve for x
    x = 61,709.02/358.33
  6. Step 6: Final answer
    x = 172.21

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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.