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Finding the Fourth Proportional to 149.25, 223.75 and 56.65

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Solution

The fourth proportional to 149.25, 223.75 and 56.65 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 223.75 = 56.65 : x
  2. Step 2: Convert to fraction form
    149.25/223.75 = 56.65/x
  3. Step 3: Cross multiply
    149.25x = 223.75 × 56.65
  4. Step 4: Simplify right side
    149.25x = 12,676.25
  5. Step 5: Solve for x
    x = 12,676.25/149.25
  6. Step 6: Final answer
    x = 84.93

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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.