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Finding the Fourth Proportional to 289.26, 434.43 and 259.02

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Solution

The fourth proportional to 289.26, 434.43 and 259.02 is: 389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 434.43 = 259.02 : x
  2. Step 2: Convert to fraction form
    289.26/434.43 = 259.02/x
  3. Step 3: Cross multiply
    289.26x = 434.43 × 259.02
  4. Step 4: Simplify right side
    289.26x = 112,526.06
  5. Step 5: Solve for x
    x = 112,526.06/289.26
  6. Step 6: Final answer
    x = 389.01

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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.