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Finding the Fourth Proportional to 215.40, 295.71 and 185.88

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Solution

The fourth proportional to 215.40, 295.71 and 185.88 is: 255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.40 : 295.71 = 185.88 : x
  2. Step 2: Convert to fraction form
    215.40/295.71 = 185.88/x
  3. Step 3: Cross multiply
    215.40x = 295.71 × 185.88
  4. Step 4: Simplify right side
    215.40x = 54,966.57
  5. Step 5: Solve for x
    x = 54,966.57/215.40
  6. Step 6: Final answer
    x = 255.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.