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Finding the Fourth Proportional to 369.60, 554.14 and 164.06

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Solution

The fourth proportional to 369.60, 554.14 and 164.06 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 554.14 = 164.06 : x
  2. Step 2: Convert to fraction form
    369.60/554.14 = 164.06/x
  3. Step 3: Cross multiply
    369.60x = 554.14 × 164.06
  4. Step 4: Simplify right side
    369.60x = 90,911.72
  5. Step 5: Solve for x
    x = 90,911.72/369.60
  6. Step 6: Final answer
    x = 245.98

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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.