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Finding the Fourth Proportional to 409.89, 565.62 and 293.64

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Solution

The fourth proportional to 409.89, 565.62 and 293.64 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 565.62 = 293.64 : x
  2. Step 2: Convert to fraction form
    409.89/565.62 = 293.64/x
  3. Step 3: Cross multiply
    409.89x = 565.62 × 293.64
  4. Step 4: Simplify right side
    409.89x = 166,088.66
  5. Step 5: Solve for x
    x = 166,088.66/409.89
  6. Step 6: Final answer
    x = 405.20

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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.