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Finding the Fourth Proportional to 462.40, 693.71 and 218.86

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Solution

The fourth proportional to 462.40, 693.71 and 218.86 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 693.71 = 218.86 : x
  2. Step 2: Convert to fraction form
    462.40/693.71 = 218.86/x
  3. Step 3: Cross multiply
    462.40x = 693.71 × 218.86
  4. Step 4: Simplify right side
    462.40x = 151,824.18
  5. Step 5: Solve for x
    x = 151,824.18/462.40
  6. Step 6: Final answer
    x = 328.34

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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.