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Finding the Fourth Proportional to 291.18, 435.78 and 169.14

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Solution

The fourth proportional to 291.18, 435.78 and 169.14 is: 253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.18 : 435.78 = 169.14 : x
  2. Step 2: Convert to fraction form
    291.18/435.78 = 169.14/x
  3. Step 3: Cross multiply
    291.18x = 435.78 × 169.14
  4. Step 4: Simplify right side
    291.18x = 73,707.83
  5. Step 5: Solve for x
    x = 73,707.83/291.18
  6. Step 6: Final answer
    x = 253.13

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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.