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Finding the Fourth Proportional to 541.76, 747.64 and 305.76

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Solution

The fourth proportional to 541.76, 747.64 and 305.76 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 747.64 = 305.76 : x
  2. Step 2: Convert to fraction form
    541.76/747.64 = 305.76/x
  3. Step 3: Cross multiply
    541.76x = 747.64 × 305.76
  4. Step 4: Simplify right side
    541.76x = 228,598.41
  5. Step 5: Solve for x
    x = 228,598.41/541.76
  6. Step 6: Final answer
    x = 421.96

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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.