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Finding the Fourth Proportional to 257.53, 386.42 and 160.00

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Solution

The fourth proportional to 257.53, 386.42 and 160.00 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 386.42 = 160.00 : x
  2. Step 2: Convert to fraction form
    257.53/386.42 = 160.00/x
  3. Step 3: Cross multiply
    257.53x = 386.42 × 160.00
  4. Step 4: Simplify right side
    257.53x = 61,826.88
  5. Step 5: Solve for x
    x = 61,826.88/257.53
  6. Step 6: Final answer
    x = 240.08

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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.