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Finding the Fourth Proportional to 312.54, 468.08 and 175.30

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Solution

The fourth proportional to 312.54, 468.08 and 175.30 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 468.08 = 175.30 : x
  2. Step 2: Convert to fraction form
    312.54/468.08 = 175.30/x
  3. Step 3: Cross multiply
    312.54x = 468.08 × 175.30
  4. Step 4: Simplify right side
    312.54x = 82,054.42
  5. Step 5: Solve for x
    x = 82,054.42/312.54
  6. Step 6: Final answer
    x = 262.54

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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.