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Finding the Fourth Proportional to 292.02, 402.98 and 187

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Solution

The fourth proportional to 292.02, 402.98 and 187 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 402.98 = 187 : x
  2. Step 2: Convert to fraction form
    292.02/402.98 = 187/x
  3. Step 3: Cross multiply
    292.02x = 402.98 × 187
  4. Step 4: Simplify right side
    292.02x = 75,357.26
  5. Step 5: Solve for x
    x = 75,357.26/292.02
  6. Step 6: Final answer
    x = 258.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.