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Finding the Fourth Proportional to 186.52, 257.59 and 145.08

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Solution

The fourth proportional to 186.52, 257.59 and 145.08 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 257.59 = 145.08 : x
  2. Step 2: Convert to fraction form
    186.52/257.59 = 145.08/x
  3. Step 3: Cross multiply
    186.52x = 257.59 × 145.08
  4. Step 4: Simplify right side
    186.52x = 37,369.87
  5. Step 5: Solve for x
    x = 37,369.87/186.52
  6. Step 6: Final answer
    x = 200.35

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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.