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Finding the Fourth Proportional to 401.30, 601.77 and 257.93

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Solution

The fourth proportional to 401.30, 601.77 and 257.93 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 601.77 = 257.93 : x
  2. Step 2: Convert to fraction form
    401.30/601.77 = 257.93/x
  3. Step 3: Cross multiply
    401.30x = 601.77 × 257.93
  4. Step 4: Simplify right side
    401.30x = 155,214.54
  5. Step 5: Solve for x
    x = 155,214.54/401.30
  6. Step 6: Final answer
    x = 386.78

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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.