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Finding the Fourth Proportional to 368.76, 553.14 and 261.03

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Solution

The fourth proportional to 368.76, 553.14 and 261.03 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.76 : 553.14 = 261.03 : x
  2. Step 2: Convert to fraction form
    368.76/553.14 = 261.03/x
  3. Step 3: Cross multiply
    368.76x = 553.14 × 261.03
  4. Step 4: Simplify right side
    368.76x = 144,386.13
  5. Step 5: Solve for x
    x = 144,386.13/368.76
  6. Step 6: Final answer
    x = 391.55

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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.