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Finding the Fourth Proportional to 292.52, 403.16 and 209.76

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Solution

The fourth proportional to 292.52, 403.16 and 209.76 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.52 : 403.16 = 209.76 : x
  2. Step 2: Convert to fraction form
    292.52/403.16 = 209.76/x
  3. Step 3: Cross multiply
    292.52x = 403.16 × 209.76
  4. Step 4: Simplify right side
    292.52x = 84,566.84
  5. Step 5: Solve for x
    x = 84,566.84/292.52
  6. Step 6: Final answer
    x = 289.10

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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.