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Finding the Fourth Proportional to 289.81, 437.49 and 288.19

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Solution

The fourth proportional to 289.81, 437.49 and 288.19 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.81 : 437.49 = 288.19 : x
  2. Step 2: Convert to fraction form
    289.81/437.49 = 288.19/x
  3. Step 3: Cross multiply
    289.81x = 437.49 × 288.19
  4. Step 4: Simplify right side
    289.81x = 126,080.24
  5. Step 5: Solve for x
    x = 126,080.24/289.81
  6. Step 6: Final answer
    x = 435.04

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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.