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Finding the Fourth Proportional to 430.60, 591.64 and 343.12

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Solution

The fourth proportional to 430.60, 591.64 and 343.12 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 591.64 = 343.12 : x
  2. Step 2: Convert to fraction form
    430.60/591.64 = 343.12/x
  3. Step 3: Cross multiply
    430.60x = 591.64 × 343.12
  4. Step 4: Simplify right side
    430.60x = 203,003.52
  5. Step 5: Solve for x
    x = 203,003.52/430.60
  6. Step 6: Final answer
    x = 471.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.