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Finding the Fourth Proportional to 292.64, 403.86 and 176.22

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Solution

The fourth proportional to 292.64, 403.86 and 176.22 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.86 = 176.22 : x
  2. Step 2: Convert to fraction form
    292.64/403.86 = 176.22/x
  3. Step 3: Cross multiply
    292.64x = 403.86 × 176.22
  4. Step 4: Simplify right side
    292.64x = 71,168.21
  5. Step 5: Solve for x
    x = 71,168.21/292.64
  6. Step 6: Final answer
    x = 243.19

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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.