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Finding the Fourth Proportional to 366.15, 504.40 and 313.52

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Solution

The fourth proportional to 366.15, 504.40 and 313.52 is: 431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 504.40 = 313.52 : x
  2. Step 2: Convert to fraction form
    366.15/504.40 = 313.52/x
  3. Step 3: Cross multiply
    366.15x = 504.40 × 313.52
  4. Step 4: Simplify right side
    366.15x = 158,137.92
  5. Step 5: Solve for x
    x = 158,137.92/366.15
  6. Step 6: Final answer
    x = 431.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.