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Finding the Fourth Proportional to 365.19, 547.77 and 145.77

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Solution

The fourth proportional to 365.19, 547.77 and 145.77 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.19 : 547.77 = 145.77 : x
  2. Step 2: Convert to fraction form
    365.19/547.77 = 145.77/x
  3. Step 3: Cross multiply
    365.19x = 547.77 × 145.77
  4. Step 4: Simplify right side
    365.19x = 79,848.43
  5. Step 5: Solve for x
    x = 79,848.43/365.19
  6. Step 6: Final answer
    x = 218.65

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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.