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Finding the Fourth Proportional to 445.57, 614.94 and 256.59

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Solution

The fourth proportional to 445.57, 614.94 and 256.59 is: 354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.57 : 614.94 = 256.59 : x
  2. Step 2: Convert to fraction form
    445.57/614.94 = 256.59/x
  3. Step 3: Cross multiply
    445.57x = 614.94 × 256.59
  4. Step 4: Simplify right side
    445.57x = 157,787.45
  5. Step 5: Solve for x
    x = 157,787.45/445.57
  6. Step 6: Final answer
    x = 354.12

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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.