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Finding the Fourth Proportional to 565.21, 847.81 and 154.35

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Solution

The fourth proportional to 565.21, 847.81 and 154.35 is: 231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.21 : 847.81 = 154.35 : x
  2. Step 2: Convert to fraction form
    565.21/847.81 = 154.35/x
  3. Step 3: Cross multiply
    565.21x = 847.81 × 154.35
  4. Step 4: Simplify right side
    565.21x = 130,859.09
  5. Step 5: Solve for x
    x = 130,859.09/565.21
  6. Step 6: Final answer
    x = 231.52

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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.