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Finding the Fourth Proportional to 368.61, 553.31 and 311.53

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Solution

The fourth proportional to 368.61, 553.31 and 311.53 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 553.31 = 311.53 : x
  2. Step 2: Convert to fraction form
    368.61/553.31 = 311.53/x
  3. Step 3: Cross multiply
    368.61x = 553.31 × 311.53
  4. Step 4: Simplify right side
    368.61x = 172,372.66
  5. Step 5: Solve for x
    x = 172,372.66/368.61
  6. Step 6: Final answer
    x = 467.63

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Why These Related Problems?

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