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Finding the Fourth Proportional to 343.10, 473.58 and 336.22

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Solution

The fourth proportional to 343.10, 473.58 and 336.22 is: 464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 473.58 = 336.22 : x
  2. Step 2: Convert to fraction form
    343.10/473.58 = 336.22/x
  3. Step 3: Cross multiply
    343.10x = 473.58 × 336.22
  4. Step 4: Simplify right side
    343.10x = 159,225.88
  5. Step 5: Solve for x
    x = 159,225.88/343.10
  6. Step 6: Final answer
    x = 464.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.