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Finding the Fourth Proportional to 366.40, 504.74 and 313.77

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Solution

The fourth proportional to 366.40, 504.74 and 313.77 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 504.74 = 313.77 : x
  2. Step 2: Convert to fraction form
    366.40/504.74 = 313.77/x
  3. Step 3: Cross multiply
    366.40x = 504.74 × 313.77
  4. Step 4: Simplify right side
    366.40x = 158,372.27
  5. Step 5: Solve for x
    x = 158,372.27/366.40
  6. Step 6: Final answer
    x = 432.24

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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.