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Finding the Fourth Proportional to 332.57, 496.51 and 280.87

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Solution

The fourth proportional to 332.57, 496.51 and 280.87 is: 419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 496.51 = 280.87 : x
  2. Step 2: Convert to fraction form
    332.57/496.51 = 280.87/x
  3. Step 3: Cross multiply
    332.57x = 496.51 × 280.87
  4. Step 4: Simplify right side
    332.57x = 139,452.82
  5. Step 5: Solve for x
    x = 139,452.82/332.57
  6. Step 6: Final answer
    x = 419.32

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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.