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Finding the Fourth Proportional to 361.59, 542.40 and 345.81

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Solution

The fourth proportional to 361.59, 542.40 and 345.81 is: 518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.59 : 542.40 = 345.81 : x
  2. Step 2: Convert to fraction form
    361.59/542.40 = 345.81/x
  3. Step 3: Cross multiply
    361.59x = 542.40 × 345.81
  4. Step 4: Simplify right side
    361.59x = 187,567.34
  5. Step 5: Solve for x
    x = 187,567.34/361.59
  6. Step 6: Final answer
    x = 518.73

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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.