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Finding the Fourth Proportional to 573.48, 860.02 and 208.17

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Solution

The fourth proportional to 573.48, 860.02 and 208.17 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 860.02 = 208.17 : x
  2. Step 2: Convert to fraction form
    573.48/860.02 = 208.17/x
  3. Step 3: Cross multiply
    573.48x = 860.02 × 208.17
  4. Step 4: Simplify right side
    573.48x = 179,029.84
  5. Step 5: Solve for x
    x = 179,029.84/573.48
  6. Step 6: Final answer
    x = 312.18

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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.