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Finding the Fourth Proportional to 462.37, 693.65 and 154.31

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Solution

The fourth proportional to 462.37, 693.65 and 154.31 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.37 : 693.65 = 154.31 : x
  2. Step 2: Convert to fraction form
    462.37/693.65 = 154.31/x
  3. Step 3: Cross multiply
    462.37x = 693.65 × 154.31
  4. Step 4: Simplify right side
    462.37x = 107,037.13
  5. Step 5: Solve for x
    x = 107,037.13/462.37
  6. Step 6: Final answer
    x = 231.50

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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.