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Finding the Fourth Proportional to 369.34, 554.01 and 288.25

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Solution

The fourth proportional to 369.34, 554.01 and 288.25 is: 432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.34 : 554.01 = 288.25 : x
  2. Step 2: Convert to fraction form
    369.34/554.01 = 288.25/x
  3. Step 3: Cross multiply
    369.34x = 554.01 × 288.25
  4. Step 4: Simplify right side
    369.34x = 159,690.92
  5. Step 5: Solve for x
    x = 159,690.92/369.34
  6. Step 6: Final answer
    x = 432.37

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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.