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Finding the Fourth Proportional to 517.16, 775.08 and 242.65

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Solution

The fourth proportional to 517.16, 775.08 and 242.65 is: 363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 775.08 = 242.65 : x
  2. Step 2: Convert to fraction form
    517.16/775.08 = 242.65/x
  3. Step 3: Cross multiply
    517.16x = 775.08 × 242.65
  4. Step 4: Simplify right side
    517.16x = 188,071.22
  5. Step 5: Solve for x
    x = 188,071.22/517.16
  6. Step 6: Final answer
    x = 363.66

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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.