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Finding the Fourth Proportional to 445.84, 669.02 and 253.60

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Solution

The fourth proportional to 445.84, 669.02 and 253.60 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 669.02 = 253.60 : x
  2. Step 2: Convert to fraction form
    445.84/669.02 = 253.60/x
  3. Step 3: Cross multiply
    445.84x = 669.02 × 253.60
  4. Step 4: Simplify right side
    445.84x = 169,663.47
  5. Step 5: Solve for x
    x = 169,663.47/445.84
  6. Step 6: Final answer
    x = 380.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.