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Finding the Fourth Proportional to 367.74, 547.76 and 354.65

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Solution

The fourth proportional to 367.74, 547.76 and 354.65 is: 528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 547.76 = 354.65 : x
  2. Step 2: Convert to fraction form
    367.74/547.76 = 354.65/x
  3. Step 3: Cross multiply
    367.74x = 547.76 × 354.65
  4. Step 4: Simplify right side
    367.74x = 194,261.23
  5. Step 5: Solve for x
    x = 194,261.23/367.74
  6. Step 6: Final answer
    x = 528.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.