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Finding the Fourth Proportional to 462.51, 693.77 and 137.89

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Solution

The fourth proportional to 462.51, 693.77 and 137.89 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 693.77 = 137.89 : x
  2. Step 2: Convert to fraction form
    462.51/693.77 = 137.89/x
  3. Step 3: Cross multiply
    462.51x = 693.77 × 137.89
  4. Step 4: Simplify right side
    462.51x = 95,663.95
  5. Step 5: Solve for x
    x = 95,663.95/462.51
  6. Step 6: Final answer
    x = 206.84

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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.