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Finding the Fourth Proportional to 292.18, 436.43 and 210.37

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Solution

The fourth proportional to 292.18, 436.43 and 210.37 is: 314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.18 : 436.43 = 210.37 : x
  2. Step 2: Convert to fraction form
    292.18/436.43 = 210.37/x
  3. Step 3: Cross multiply
    292.18x = 436.43 × 210.37
  4. Step 4: Simplify right side
    292.18x = 91,811.78
  5. Step 5: Solve for x
    x = 91,811.78/292.18
  6. Step 6: Final answer
    x = 314.23

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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.