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Finding the Fourth Proportional to 404.06, 557.46 and 256.46

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Solution

The fourth proportional to 404.06, 557.46 and 256.46 is: 353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 557.46 = 256.46 : x
  2. Step 2: Convert to fraction form
    404.06/557.46 = 256.46/x
  3. Step 3: Cross multiply
    404.06x = 557.46 × 256.46
  4. Step 4: Simplify right side
    404.06x = 142,966.19
  5. Step 5: Solve for x
    x = 142,966.19/404.06
  6. Step 6: Final answer
    x = 353.82

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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.