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Finding the Fourth Proportional to 186.90, 253.13 and 186.90

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Solution

The fourth proportional to 186.90, 253.13 and 186.90 is: 253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 253.13 = 186.90 : x
  2. Step 2: Convert to fraction form
    186.90/253.13 = 186.90/x
  3. Step 3: Cross multiply
    186.90x = 253.13 × 186.90
  4. Step 4: Simplify right side
    186.90x = 47,309.06
  5. Step 5: Solve for x
    x = 47,309.06/186.90
  6. Step 6: Final answer
    x = 253.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.