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Finding the Fourth Proportional to 212.50, 293.32 and 134.88

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Solution

The fourth proportional to 212.50, 293.32 and 134.88 is: 186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.50 : 293.32 = 134.88 : x
  2. Step 2: Convert to fraction form
    212.50/293.32 = 134.88/x
  3. Step 3: Cross multiply
    212.50x = 293.32 × 134.88
  4. Step 4: Simplify right side
    212.50x = 39,563.00
  5. Step 5: Solve for x
    x = 39,563.00/212.50
  6. Step 6: Final answer
    x = 186.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.