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Finding the Fourth Proportional to 292.49, 403.63 and 159.71

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Solution

The fourth proportional to 292.49, 403.63 and 159.71 is: 220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.49 : 403.63 = 159.71 : x
  2. Step 2: Convert to fraction form
    292.49/403.63 = 159.71/x
  3. Step 3: Cross multiply
    292.49x = 403.63 × 159.71
  4. Step 4: Simplify right side
    292.49x = 64,463.75
  5. Step 5: Solve for x
    x = 64,463.75/292.49
  6. Step 6: Final answer
    x = 220.40

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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.