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Finding the Fourth Proportional to 312.52, 468.46 and 202.90

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Solution

The fourth proportional to 312.52, 468.46 and 202.90 is: 304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 468.46 = 202.90 : x
  2. Step 2: Convert to fraction form
    312.52/468.46 = 202.90/x
  3. Step 3: Cross multiply
    312.52x = 468.46 × 202.90
  4. Step 4: Simplify right side
    312.52x = 95,050.49
  5. Step 5: Solve for x
    x = 95,050.49/312.52
  6. Step 6: Final answer
    x = 304.14

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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.