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Finding the Fourth Proportional to 363.93, 543.27 and 339.93

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Solution

The fourth proportional to 363.93, 543.27 and 339.93 is: 507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 543.27 = 339.93 : x
  2. Step 2: Convert to fraction form
    363.93/543.27 = 339.93/x
  3. Step 3: Cross multiply
    363.93x = 543.27 × 339.93
  4. Step 4: Simplify right side
    363.93x = 184,675.05
  5. Step 5: Solve for x
    x = 184,675.05/363.93
  6. Step 6: Final answer
    x = 507.45

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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.