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Finding the Fourth Proportional to 257.61, 355.68 and 184.08

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Solution

The fourth proportional to 257.61, 355.68 and 184.08 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.61 : 355.68 = 184.08 : x
  2. Step 2: Convert to fraction form
    257.61/355.68 = 184.08/x
  3. Step 3: Cross multiply
    257.61x = 355.68 × 184.08
  4. Step 4: Simplify right side
    257.61x = 65,473.57
  5. Step 5: Solve for x
    x = 65,473.57/257.61
  6. Step 6: Final answer
    x = 254.16

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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.