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Finding the Fourth Proportional to 598.38, 897.28 and 187.56

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Solution

The fourth proportional to 598.38, 897.28 and 187.56 is: 281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 897.28 = 187.56 : x
  2. Step 2: Convert to fraction form
    598.38/897.28 = 187.56/x
  3. Step 3: Cross multiply
    598.38x = 897.28 × 187.56
  4. Step 4: Simplify right side
    598.38x = 168,293.37
  5. Step 5: Solve for x
    x = 168,293.37/598.38
  6. Step 6: Final answer
    x = 281.25

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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.