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Finding the Fourth Proportional to 310.72, 466.15 and 128.09

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Solution

The fourth proportional to 310.72, 466.15 and 128.09 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 466.15 = 128.09 : x
  2. Step 2: Convert to fraction form
    310.72/466.15 = 128.09/x
  3. Step 3: Cross multiply
    310.72x = 466.15 × 128.09
  4. Step 4: Simplify right side
    310.72x = 59,709.15
  5. Step 5: Solve for x
    x = 59,709.15/310.72
  6. Step 6: Final answer
    x = 192.16

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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.