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Finding the Fourth Proportional to 592.68, 889.10 and 197.36

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Solution

The fourth proportional to 592.68, 889.10 and 197.36 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.68 : 889.10 = 197.36 : x
  2. Step 2: Convert to fraction form
    592.68/889.10 = 197.36/x
  3. Step 3: Cross multiply
    592.68x = 889.10 × 197.36
  4. Step 4: Simplify right side
    592.68x = 175,472.78
  5. Step 5: Solve for x
    x = 175,472.78/592.68
  6. Step 6: Final answer
    x = 296.07

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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.