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Finding the Fourth Proportional to 340.90, 470.02 and 288.35

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Solution

The fourth proportional to 340.90, 470.02 and 288.35 is: 397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.90 : 470.02 = 288.35 : x
  2. Step 2: Convert to fraction form
    340.90/470.02 = 288.35/x
  3. Step 3: Cross multiply
    340.90x = 470.02 × 288.35
  4. Step 4: Simplify right side
    340.90x = 135,527.92
  5. Step 5: Solve for x
    x = 135,527.92/340.90
  6. Step 6: Final answer
    x = 397.56

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Why These Related Problems?

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