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Finding the Fourth Proportional to 312.58, 466.64 and 271.58

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Solution

The fourth proportional to 312.58, 466.64 and 271.58 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 466.64 = 271.58 : x
  2. Step 2: Convert to fraction form
    312.58/466.64 = 271.58/x
  3. Step 3: Cross multiply
    312.58x = 466.64 × 271.58
  4. Step 4: Simplify right side
    312.58x = 126,729.90
  5. Step 5: Solve for x
    x = 126,729.90/312.58
  6. Step 6: Final answer
    x = 405.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.