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Finding the Fourth Proportional to 291.24, 435.78 and 175.72

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Solution

The fourth proportional to 291.24, 435.78 and 175.72 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 435.78 = 175.72 : x
  2. Step 2: Convert to fraction form
    291.24/435.78 = 175.72/x
  3. Step 3: Cross multiply
    291.24x = 435.78 × 175.72
  4. Step 4: Simplify right side
    291.24x = 76,575.26
  5. Step 5: Solve for x
    x = 76,575.26/291.24
  6. Step 6: Final answer
    x = 262.93

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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.