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Finding the Fourth Proportional to 354, 531.08 and 137.58

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Solution

The fourth proportional to 354, 531.08 and 137.58 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 531.08 = 137.58 : x
  2. Step 2: Convert to fraction form
    354/531.08 = 137.58/x
  3. Step 3: Cross multiply
    354x = 531.08 × 137.58
  4. Step 4: Simplify right side
    354x = 73,065.99
  5. Step 5: Solve for x
    x = 73,065.99/354
  6. Step 6: Final answer
    x = 206.40

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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.