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Finding the Fourth Proportional to 364.50, 546.40 and 287.27

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Solution

The fourth proportional to 364.50, 546.40 and 287.27 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 546.40 = 287.27 : x
  2. Step 2: Convert to fraction form
    364.50/546.40 = 287.27/x
  3. Step 3: Cross multiply
    364.50x = 546.40 × 287.27
  4. Step 4: Simplify right side
    364.50x = 156,964.00
  5. Step 5: Solve for x
    x = 156,964.00/364.50
  6. Step 6: Final answer
    x = 430.63

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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.