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Finding the Fourth Proportional to 366.72, 509.18 and 357.90

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Solution

The fourth proportional to 366.72, 509.18 and 357.90 is: 496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 509.18 = 357.90 : x
  2. Step 2: Convert to fraction form
    366.72/509.18 = 357.90/x
  3. Step 3: Cross multiply
    366.72x = 509.18 × 357.90
  4. Step 4: Simplify right side
    366.72x = 182,235.52
  5. Step 5: Solve for x
    x = 182,235.52/366.72
  6. Step 6: Final answer
    x = 496.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.