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Finding the Fourth Proportional to 369.06, 553.84 and 289.88

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Solution

The fourth proportional to 369.06, 553.84 and 289.88 is: 435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 553.84 = 289.88 : x
  2. Step 2: Convert to fraction form
    369.06/553.84 = 289.88/x
  3. Step 3: Cross multiply
    369.06x = 553.84 × 289.88
  4. Step 4: Simplify right side
    369.06x = 160,545.72
  5. Step 5: Solve for x
    x = 160,545.72/369.06
  6. Step 6: Final answer
    x = 435.02

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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.