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Finding the Fourth Proportional to 541.87, 747.80 and 305.91

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Solution

The fourth proportional to 541.87, 747.80 and 305.91 is: 422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 747.80 = 305.91 : x
  2. Step 2: Convert to fraction form
    541.87/747.80 = 305.91/x
  3. Step 3: Cross multiply
    541.87x = 747.80 × 305.91
  4. Step 4: Simplify right side
    541.87x = 228,760.26
  5. Step 5: Solve for x
    x = 228,760.26/541.87
  6. Step 6: Final answer
    x = 422.17

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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.