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Finding the Fourth Proportional to 361.48, 542.31 and 207.50

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Solution

The fourth proportional to 361.48, 542.31 and 207.50 is: 311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.48 : 542.31 = 207.50 : x
  2. Step 2: Convert to fraction form
    361.48/542.31 = 207.50/x
  3. Step 3: Cross multiply
    361.48x = 542.31 × 207.50
  4. Step 4: Simplify right side
    361.48x = 112,529.90
  5. Step 5: Solve for x
    x = 112,529.90/361.48
  6. Step 6: Final answer
    x = 311.31

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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.