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Finding the Fourth Proportional to 291.85, 402.75 and 173.93

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Solution

The fourth proportional to 291.85, 402.75 and 173.93 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.85 : 402.75 = 173.93 : x
  2. Step 2: Convert to fraction form
    291.85/402.75 = 173.93/x
  3. Step 3: Cross multiply
    291.85x = 402.75 × 173.93
  4. Step 4: Simplify right side
    291.85x = 70,050.31
  5. Step 5: Solve for x
    x = 70,050.31/291.85
  6. Step 6: Final answer
    x = 240.02

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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.