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Finding the Fourth Proportional to 357.35, 535.93 and 138.00

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Solution

The fourth proportional to 357.35, 535.93 and 138.00 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 535.93 = 138.00 : x
  2. Step 2: Convert to fraction form
    357.35/535.93 = 138.00/x
  3. Step 3: Cross multiply
    357.35x = 535.93 × 138.00
  4. Step 4: Simplify right side
    357.35x = 73,956.81
  5. Step 5: Solve for x
    x = 73,956.81/357.35
  6. Step 6: Final answer
    x = 206.96

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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.