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Finding the Fourth Proportional to 319.72, 476.93 and 280.84

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Solution

The fourth proportional to 319.72, 476.93 and 280.84 is: 418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 476.93 = 280.84 : x
  2. Step 2: Convert to fraction form
    319.72/476.93 = 280.84/x
  3. Step 3: Cross multiply
    319.72x = 476.93 × 280.84
  4. Step 4: Simplify right side
    319.72x = 133,941.02
  5. Step 5: Solve for x
    x = 133,941.02/319.72
  6. Step 6: Final answer
    x = 418.93

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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.