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Finding the Fourth Proportional to 363.09, 543.60 and 340.10

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Solution

The fourth proportional to 363.09, 543.60 and 340.10 is: 509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 543.60 = 340.10 : x
  2. Step 2: Convert to fraction form
    363.09/543.60 = 340.10/x
  3. Step 3: Cross multiply
    363.09x = 543.60 × 340.10
  4. Step 4: Simplify right side
    363.09x = 184,877.20
  5. Step 5: Solve for x
    x = 184,877.20/363.09
  6. Step 6: Final answer
    x = 509.18

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Why These Related Problems?

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