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Finding the Fourth Proportional to 292.32, 437.58 and 209.88

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Solution

The fourth proportional to 292.32, 437.58 and 209.88 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 437.58 = 209.88 : x
  2. Step 2: Convert to fraction form
    292.32/437.58 = 209.88/x
  3. Step 3: Cross multiply
    292.32x = 437.58 × 209.88
  4. Step 4: Simplify right side
    292.32x = 91,839.29
  5. Step 5: Solve for x
    x = 91,839.29/292.32
  6. Step 6: Final answer
    x = 314.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.