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Finding the Fourth Proportional to 362.16, 541.71 and 305.87

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Solution

The fourth proportional to 362.16, 541.71 and 305.87 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 541.71 = 305.87 : x
  2. Step 2: Convert to fraction form
    362.16/541.71 = 305.87/x
  3. Step 3: Cross multiply
    362.16x = 541.71 × 305.87
  4. Step 4: Simplify right side
    362.16x = 165,692.51
  5. Step 5: Solve for x
    x = 165,692.51/362.16
  6. Step 6: Final answer
    x = 457.51

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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.