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Finding the Fourth Proportional to 332.16, 497.76 and 280.80

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Solution

The fourth proportional to 332.16, 497.76 and 280.80 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 497.76 = 280.80 : x
  2. Step 2: Convert to fraction form
    332.16/497.76 = 280.80/x
  3. Step 3: Cross multiply
    332.16x = 497.76 × 280.80
  4. Step 4: Simplify right side
    332.16x = 139,771.01
  5. Step 5: Solve for x
    x = 139,771.01/332.16
  6. Step 6: Final answer
    x = 420.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.