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Finding the Fourth Proportional to 312.48, 466.38 and 275.94

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Solution

The fourth proportional to 312.48, 466.38 and 275.94 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 466.38 = 275.94 : x
  2. Step 2: Convert to fraction form
    312.48/466.38 = 275.94/x
  3. Step 3: Cross multiply
    312.48x = 466.38 × 275.94
  4. Step 4: Simplify right side
    312.48x = 128,692.90
  5. Step 5: Solve for x
    x = 128,692.90/312.48
  6. Step 6: Final answer
    x = 411.84

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Why These Related Problems?

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