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Finding the Fourth Proportional to 364.33, 549.13 and 344.53

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Solution

The fourth proportional to 364.33, 549.13 and 344.53 is: 519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.33 : 549.13 = 344.53 : x
  2. Step 2: Convert to fraction form
    364.33/549.13 = 344.53/x
  3. Step 3: Cross multiply
    364.33x = 549.13 × 344.53
  4. Step 4: Simplify right side
    364.33x = 189,191.76
  5. Step 5: Solve for x
    x = 189,191.76/364.33
  6. Step 6: Final answer
    x = 519.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.