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Finding the Fourth Proportional to 462.83, 693.28 and 231.02

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Solution

The fourth proportional to 462.83, 693.28 and 231.02 is: 346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.83 : 693.28 = 231.02 : x
  2. Step 2: Convert to fraction form
    462.83/693.28 = 231.02/x
  3. Step 3: Cross multiply
    462.83x = 693.28 × 231.02
  4. Step 4: Simplify right side
    462.83x = 160,161.55
  5. Step 5: Solve for x
    x = 160,161.55/462.83
  6. Step 6: Final answer
    x = 346.05

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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.