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Finding the Fourth Proportional to 291.69, 436.99 and 176.16

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Solution

The fourth proportional to 291.69, 436.99 and 176.16 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 436.99 = 176.16 : x
  2. Step 2: Convert to fraction form
    291.69/436.99 = 176.16/x
  3. Step 3: Cross multiply
    291.69x = 436.99 × 176.16
  4. Step 4: Simplify right side
    291.69x = 76,980.16
  5. Step 5: Solve for x
    x = 76,980.16/291.69
  6. Step 6: Final answer
    x = 263.91

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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.