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Finding the Fourth Proportional to 477.87, 659.34 and 281.40

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Solution

The fourth proportional to 477.87, 659.34 and 281.40 is: 388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 659.34 = 281.40 : x
  2. Step 2: Convert to fraction form
    477.87/659.34 = 281.40/x
  3. Step 3: Cross multiply
    477.87x = 659.34 × 281.40
  4. Step 4: Simplify right side
    477.87x = 185,538.28
  5. Step 5: Solve for x
    x = 185,538.28/477.87
  6. Step 6: Final answer
    x = 388.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.