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Finding the Fourth Proportional to 361.51, 542.23 and 117.99

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Solution

The fourth proportional to 361.51, 542.23 and 117.99 is: 176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.51 : 542.23 = 117.99 : x
  2. Step 2: Convert to fraction form
    361.51/542.23 = 117.99/x
  3. Step 3: Cross multiply
    361.51x = 542.23 × 117.99
  4. Step 4: Simplify right side
    361.51x = 63,977.42
  5. Step 5: Solve for x
    x = 63,977.42/361.51
  6. Step 6: Final answer
    x = 176.97

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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.