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Finding the Fourth Proportional to 456.14, 628.53 and 362.90

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Solution

The fourth proportional to 456.14, 628.53 and 362.90 is: 500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 628.53 = 362.90 : x
  2. Step 2: Convert to fraction form
    456.14/628.53 = 362.90/x
  3. Step 3: Cross multiply
    456.14x = 628.53 × 362.90
  4. Step 4: Simplify right side
    456.14x = 228,093.54
  5. Step 5: Solve for x
    x = 228,093.54/456.14
  6. Step 6: Final answer
    x = 500.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.