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Finding the Fourth Proportional to 291.58, 440.71 and 288.34

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Solution

The fourth proportional to 291.58, 440.71 and 288.34 is: 435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.58 : 440.71 = 288.34 : x
  2. Step 2: Convert to fraction form
    291.58/440.71 = 288.34/x
  3. Step 3: Cross multiply
    291.58x = 440.71 × 288.34
  4. Step 4: Simplify right side
    291.58x = 127,074.32
  5. Step 5: Solve for x
    x = 127,074.32/291.58
  6. Step 6: Final answer
    x = 435.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.