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Finding the Fourth Proportional to 517.32, 775.91 and 188.25

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Solution

The fourth proportional to 517.32, 775.91 and 188.25 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 775.91 = 188.25 : x
  2. Step 2: Convert to fraction form
    517.32/775.91 = 188.25/x
  3. Step 3: Cross multiply
    517.32x = 775.91 × 188.25
  4. Step 4: Simplify right side
    517.32x = 146,065.06
  5. Step 5: Solve for x
    x = 146,065.06/517.32
  6. Step 6: Final answer
    x = 282.35

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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.