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Finding the Fourth Proportional to 312.30, 465.80 and 283.14

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Solution

The fourth proportional to 312.30, 465.80 and 283.14 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 465.80 = 283.14 : x
  2. Step 2: Convert to fraction form
    312.30/465.80 = 283.14/x
  3. Step 3: Cross multiply
    312.30x = 465.80 × 283.14
  4. Step 4: Simplify right side
    312.30x = 131,885.20
  5. Step 5: Solve for x
    x = 131,885.20/312.30
  6. Step 6: Final answer
    x = 422.30

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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.