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Finding the Fourth Proportional to 401.88, 601.56 and 257.70

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Solution

The fourth proportional to 401.88, 601.56 and 257.70 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 601.56 = 257.70 : x
  2. Step 2: Convert to fraction form
    401.88/601.56 = 257.70/x
  3. Step 3: Cross multiply
    401.88x = 601.56 × 257.70
  4. Step 4: Simplify right side
    401.88x = 155,022.01
  5. Step 5: Solve for x
    x = 155,022.01/401.88
  6. Step 6: Final answer
    x = 385.74

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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.