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Finding the Fourth Proportional to 401.51, 553.95 and 261.80

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Solution

The fourth proportional to 401.51, 553.95 and 261.80 is: 361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.51 : 553.95 = 261.80 : x
  2. Step 2: Convert to fraction form
    401.51/553.95 = 261.80/x
  3. Step 3: Cross multiply
    401.51x = 553.95 × 261.80
  4. Step 4: Simplify right side
    401.51x = 145,024.11
  5. Step 5: Solve for x
    x = 145,024.11/401.51
  6. Step 6: Final answer
    x = 361.20

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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.