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Finding the Fourth Proportional to 332.35, 456.65 and 311.02

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Solution

The fourth proportional to 332.35, 456.65 and 311.02 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.35 : 456.65 = 311.02 : x
  2. Step 2: Convert to fraction form
    332.35/456.65 = 311.02/x
  3. Step 3: Cross multiply
    332.35x = 456.65 × 311.02
  4. Step 4: Simplify right side
    332.35x = 142,025.00
  5. Step 5: Solve for x
    x = 142,025.00/332.35
  6. Step 6: Final answer
    x = 427.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.