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Finding the Fourth Proportional to 513.88, 770.52 and 240.14

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Solution

The fourth proportional to 513.88, 770.52 and 240.14 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.88 : 770.52 = 240.14 : x
  2. Step 2: Convert to fraction form
    513.88/770.52 = 240.14/x
  3. Step 3: Cross multiply
    513.88x = 770.52 × 240.14
  4. Step 4: Simplify right side
    513.88x = 185,032.67
  5. Step 5: Solve for x
    x = 185,032.67/513.88
  6. Step 6: Final answer
    x = 360.07

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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.