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Finding the Fourth Proportional to 340.71, 470.51 and 291.30

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Solution

The fourth proportional to 340.71, 470.51 and 291.30 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 470.51 = 291.30 : x
  2. Step 2: Convert to fraction form
    340.71/470.51 = 291.30/x
  3. Step 3: Cross multiply
    340.71x = 470.51 × 291.30
  4. Step 4: Simplify right side
    340.71x = 137,059.56
  5. Step 5: Solve for x
    x = 137,059.56/340.71
  6. Step 6: Final answer
    x = 402.28

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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.