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Finding the Fourth Proportional to 542.68, 813.42 and 369.40

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Solution

The fourth proportional to 542.68, 813.42 and 369.40 is: 553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 813.42 = 369.40 : x
  2. Step 2: Convert to fraction form
    542.68/813.42 = 369.40/x
  3. Step 3: Cross multiply
    542.68x = 813.42 × 369.40
  4. Step 4: Simplify right side
    542.68x = 300,477.35
  5. Step 5: Solve for x
    x = 300,477.35/542.68
  6. Step 6: Final answer
    x = 553.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.