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Finding the Fourth Proportional to 598.25, 897.42 and 208.19

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Solution

The fourth proportional to 598.25, 897.42 and 208.19 is: 312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 897.42 = 208.19 : x
  2. Step 2: Convert to fraction form
    598.25/897.42 = 208.19/x
  3. Step 3: Cross multiply
    598.25x = 897.42 × 208.19
  4. Step 4: Simplify right side
    598.25x = 186,829.38
  5. Step 5: Solve for x
    x = 186,829.38/598.25
  6. Step 6: Final answer
    x = 312.30

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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.