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Finding the Fourth Proportional to 400.81, 553.23 and 261.28

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Solution

The fourth proportional to 400.81, 553.23 and 261.28 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.81 : 553.23 = 261.28 : x
  2. Step 2: Convert to fraction form
    400.81/553.23 = 261.28/x
  3. Step 3: Cross multiply
    400.81x = 553.23 × 261.28
  4. Step 4: Simplify right side
    400.81x = 144,547.93
  5. Step 5: Solve for x
    x = 144,547.93/400.81
  6. Step 6: Final answer
    x = 360.64

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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.