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Finding the Fourth Proportional to 292.18, 438.13 and 170.49

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Solution

The fourth proportional to 292.18, 438.13 and 170.49 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.18 : 438.13 = 170.49 : x
  2. Step 2: Convert to fraction form
    292.18/438.13 = 170.49/x
  3. Step 3: Cross multiply
    292.18x = 438.13 × 170.49
  4. Step 4: Simplify right side
    292.18x = 74,696.78
  5. Step 5: Solve for x
    x = 74,696.78/292.18
  6. Step 6: Final answer
    x = 255.65

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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.