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Finding the Fourth Proportional to 400.56, 553.68 and 302.58

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Solution

The fourth proportional to 400.56, 553.68 and 302.58 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 553.68 = 302.58 : x
  2. Step 2: Convert to fraction form
    400.56/553.68 = 302.58/x
  3. Step 3: Cross multiply
    400.56x = 553.68 × 302.58
  4. Step 4: Simplify right side
    400.56x = 167,532.49
  5. Step 5: Solve for x
    x = 167,532.49/400.56
  6. Step 6: Final answer
    x = 418.25

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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.