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Finding the Fourth Proportional to 332.28, 455.85 and 313.65

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Solution

The fourth proportional to 332.28, 455.85 and 313.65 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.28 : 455.85 = 313.65 : x
  2. Step 2: Convert to fraction form
    332.28/455.85 = 313.65/x
  3. Step 3: Cross multiply
    332.28x = 455.85 × 313.65
  4. Step 4: Simplify right side
    332.28x = 142,977.35
  5. Step 5: Solve for x
    x = 142,977.35/332.28
  6. Step 6: Final answer
    x = 430.29

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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.