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Finding the Fourth Proportional to 292.71, 437.41 and 238.65

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Solution

The fourth proportional to 292.71, 437.41 and 238.65 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.71 : 437.41 = 238.65 : x
  2. Step 2: Convert to fraction form
    292.71/437.41 = 238.65/x
  3. Step 3: Cross multiply
    292.71x = 437.41 × 238.65
  4. Step 4: Simplify right side
    292.71x = 104,387.30
  5. Step 5: Solve for x
    x = 104,387.30/292.71
  6. Step 6: Final answer
    x = 356.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.