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Finding the Fourth Proportional to 409.60, 565.50 and 299.32

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Solution

The fourth proportional to 409.60, 565.50 and 299.32 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.50 = 299.32 : x
  2. Step 2: Convert to fraction form
    409.60/565.50 = 299.32/x
  3. Step 3: Cross multiply
    409.60x = 565.50 × 299.32
  4. Step 4: Simplify right side
    409.60x = 169,265.46
  5. Step 5: Solve for x
    x = 169,265.46/409.60
  6. Step 6: Final answer
    x = 413.25

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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.