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Finding the Fourth Proportional to 462.10, 693.26 and 137.50

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Solution

The fourth proportional to 462.10, 693.26 and 137.50 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 693.26 = 137.50 : x
  2. Step 2: Convert to fraction form
    462.10/693.26 = 137.50/x
  3. Step 3: Cross multiply
    462.10x = 693.26 × 137.50
  4. Step 4: Simplify right side
    462.10x = 95,323.25
  5. Step 5: Solve for x
    x = 95,323.25/462.10
  6. Step 6: Final answer
    x = 206.28

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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.