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Finding the Fourth Proportional to 509.88, 765.14 and 185.24

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Solution

The fourth proportional to 509.88, 765.14 and 185.24 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 765.14 = 185.24 : x
  2. Step 2: Convert to fraction form
    509.88/765.14 = 185.24/x
  3. Step 3: Cross multiply
    509.88x = 765.14 × 185.24
  4. Step 4: Simplify right side
    509.88x = 141,734.53
  5. Step 5: Solve for x
    x = 141,734.53/509.88
  6. Step 6: Final answer
    x = 277.98

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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.