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Finding the Fourth Proportional to 354.81, 532.58 and 274.53

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Solution

The fourth proportional to 354.81, 532.58 and 274.53 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.81 : 532.58 = 274.53 : x
  2. Step 2: Convert to fraction form
    354.81/532.58 = 274.53/x
  3. Step 3: Cross multiply
    354.81x = 532.58 × 274.53
  4. Step 4: Simplify right side
    354.81x = 146,207.81
  5. Step 5: Solve for x
    x = 146,207.81/354.81
  6. Step 6: Final answer
    x = 412.07

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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.