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Finding the Fourth Proportional to 199.02, 296.93 and 177.09

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Solution

The fourth proportional to 199.02, 296.93 and 177.09 is: 264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 296.93 = 177.09 : x
  2. Step 2: Convert to fraction form
    199.02/296.93 = 177.09/x
  3. Step 3: Cross multiply
    199.02x = 296.93 × 177.09
  4. Step 4: Simplify right side
    199.02x = 52,582.89
  5. Step 5: Solve for x
    x = 52,582.89/199.02
  6. Step 6: Final answer
    x = 264.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.