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Finding the Fourth Proportional to 401.59, 553.76 and 261.45

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Solution

The fourth proportional to 401.59, 553.76 and 261.45 is: 360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.59 : 553.76 = 261.45 : x
  2. Step 2: Convert to fraction form
    401.59/553.76 = 261.45/x
  3. Step 3: Cross multiply
    401.59x = 553.76 × 261.45
  4. Step 4: Simplify right side
    401.59x = 144,779.90
  5. Step 5: Solve for x
    x = 144,779.90/401.59
  6. Step 6: Final answer
    x = 360.52

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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.