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Finding the Fourth Proportional to 364.77, 547.09 and 145.50

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Solution

The fourth proportional to 364.77, 547.09 and 145.50 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.77 : 547.09 = 145.50 : x
  2. Step 2: Convert to fraction form
    364.77/547.09 = 145.50/x
  3. Step 3: Cross multiply
    364.77x = 547.09 × 145.50
  4. Step 4: Simplify right side
    364.77x = 79,599.79
  5. Step 5: Solve for x
    x = 79,599.79/364.77
  6. Step 6: Final answer
    x = 218.22

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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.