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Finding the Fourth Proportional to 475.34, 712.40 and 215.33

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Solution

The fourth proportional to 475.34, 712.40 and 215.33 is: 322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 712.40 = 215.33 : x
  2. Step 2: Convert to fraction form
    475.34/712.40 = 215.33/x
  3. Step 3: Cross multiply
    475.34x = 712.40 × 215.33
  4. Step 4: Simplify right side
    475.34x = 153,401.09
  5. Step 5: Solve for x
    x = 153,401.09/475.34
  6. Step 6: Final answer
    x = 322.72

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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.