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Finding the Fourth Proportional to 409.60, 565.59 and 311.23

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Solution

The fourth proportional to 409.60, 565.59 and 311.23 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.59 = 311.23 : x
  2. Step 2: Convert to fraction form
    409.60/565.59 = 311.23/x
  3. Step 3: Cross multiply
    409.60x = 565.59 × 311.23
  4. Step 4: Simplify right side
    409.60x = 176,028.58
  5. Step 5: Solve for x
    x = 176,028.58/409.60
  6. Step 6: Final answer
    x = 429.76

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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.