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Finding the Fourth Proportional to 541.15, 746.21 and 366.19

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Solution

The fourth proportional to 541.15, 746.21 and 366.19 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.15 : 746.21 = 366.19 : x
  2. Step 2: Convert to fraction form
    541.15/746.21 = 366.19/x
  3. Step 3: Cross multiply
    541.15x = 746.21 × 366.19
  4. Step 4: Simplify right side
    541.15x = 273,253.69
  5. Step 5: Solve for x
    x = 273,253.69/541.15
  6. Step 6: Final answer
    x = 504.95

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Half scale
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Double scale
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1.5x scale

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.