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Finding the Fourth Proportional to 462.20, 693.53 and 215.30

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Solution

The fourth proportional to 462.20, 693.53 and 215.30 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 693.53 = 215.30 : x
  2. Step 2: Convert to fraction form
    462.20/693.53 = 215.30/x
  3. Step 3: Cross multiply
    462.20x = 693.53 × 215.30
  4. Step 4: Simplify right side
    462.20x = 149,312.46
  5. Step 5: Solve for x
    x = 149,312.46/462.20
  6. Step 6: Final answer
    x = 323.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.