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Finding the Fourth Proportional to 409.34, 565.02 and 285

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Solution

The fourth proportional to 409.34, 565.02 and 285 is: 393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 565.02 = 285 : x
  2. Step 2: Convert to fraction form
    409.34/565.02 = 285/x
  3. Step 3: Cross multiply
    409.34x = 565.02 × 285
  4. Step 4: Simplify right side
    409.34x = 161,030.70
  5. Step 5: Solve for x
    x = 161,030.70/409.34
  6. Step 6: Final answer
    x = 393.40

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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.