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Finding the Fourth Proportional to 363.59, 542.52 and 341.55

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Solution

The fourth proportional to 363.59, 542.52 and 341.55 is: 509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.59 : 542.52 = 341.55 : x
  2. Step 2: Convert to fraction form
    363.59/542.52 = 341.55/x
  3. Step 3: Cross multiply
    363.59x = 542.52 × 341.55
  4. Step 4: Simplify right side
    363.59x = 185,297.71
  5. Step 5: Solve for x
    x = 185,297.71/363.59
  6. Step 6: Final answer
    x = 509.64

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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.