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Finding the Fourth Proportional to 340.92, 470.16 and 263.16

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Solution

The fourth proportional to 340.92, 470.16 and 263.16 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 470.16 = 263.16 : x
  2. Step 2: Convert to fraction form
    340.92/470.16 = 263.16/x
  3. Step 3: Cross multiply
    340.92x = 470.16 × 263.16
  4. Step 4: Simplify right side
    340.92x = 123,727.31
  5. Step 5: Solve for x
    x = 123,727.31/340.92
  6. Step 6: Final answer
    x = 362.92

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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.