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Finding the Fourth Proportional to 403.50, 602.12 and 367.02

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Solution

The fourth proportional to 403.50, 602.12 and 367.02 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.50 : 602.12 = 367.02 : x
  2. Step 2: Convert to fraction form
    403.50/602.12 = 367.02/x
  3. Step 3: Cross multiply
    403.50x = 602.12 × 367.02
  4. Step 4: Simplify right side
    403.50x = 220,988.25
  5. Step 5: Solve for x
    x = 220,988.25/403.50
  6. Step 6: Final answer
    x = 547.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.