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Finding the Fourth Proportional to 573.65, 860.47 and 140.81

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Solution

The fourth proportional to 573.65, 860.47 and 140.81 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.65 : 860.47 = 140.81 : x
  2. Step 2: Convert to fraction form
    573.65/860.47 = 140.81/x
  3. Step 3: Cross multiply
    573.65x = 860.47 × 140.81
  4. Step 4: Simplify right side
    573.65x = 121,158.92
  5. Step 5: Solve for x
    x = 121,158.92/573.65
  6. Step 6: Final answer
    x = 211.21

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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.