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Finding the Fourth Proportional to 342.52, 473.11 and 290.00

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Solution

The fourth proportional to 342.52, 473.11 and 290.00 is: 400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.52 : 473.11 = 290.00 : x
  2. Step 2: Convert to fraction form
    342.52/473.11 = 290.00/x
  3. Step 3: Cross multiply
    342.52x = 473.11 × 290.00
  4. Step 4: Simplify right side
    342.52x = 137,202.36
  5. Step 5: Solve for x
    x = 137,202.36/342.52
  6. Step 6: Final answer
    x = 400.57

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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.