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Finding the Fourth Proportional to 515.08, 771.66 and 258.76

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Solution

The fourth proportional to 515.08, 771.66 and 258.76 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.08 : 771.66 = 258.76 : x
  2. Step 2: Convert to fraction form
    515.08/771.66 = 258.76/x
  3. Step 3: Cross multiply
    515.08x = 771.66 × 258.76
  4. Step 4: Simplify right side
    515.08x = 199,674.74
  5. Step 5: Solve for x
    x = 199,674.74/515.08
  6. Step 6: Final answer
    x = 387.66

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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.