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Finding the Fourth Proportional to 410.64, 565.94 and 299.94

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Solution

The fourth proportional to 410.64, 565.94 and 299.94 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 565.94 = 299.94 : x
  2. Step 2: Convert to fraction form
    410.64/565.94 = 299.94/x
  3. Step 3: Cross multiply
    410.64x = 565.94 × 299.94
  4. Step 4: Simplify right side
    410.64x = 169,748.04
  5. Step 5: Solve for x
    x = 169,748.04/410.64
  6. Step 6: Final answer
    x = 413.37

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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.