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Finding the Fourth Proportional to 332.32, 496.28 and 317.76

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Solution

The fourth proportional to 332.32, 496.28 and 317.76 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.32 : 496.28 = 317.76 : x
  2. Step 2: Convert to fraction form
    332.32/496.28 = 317.76/x
  3. Step 3: Cross multiply
    332.32x = 496.28 × 317.76
  4. Step 4: Simplify right side
    332.32x = 157,697.93
  5. Step 5: Solve for x
    x = 157,697.93/332.32
  6. Step 6: Final answer
    x = 474.54

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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.