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Finding the Fourth Proportional to 289.17, 437.06 and 289.17

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Solution

The fourth proportional to 289.17, 437.06 and 289.17 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 437.06 = 289.17 : x
  2. Step 2: Convert to fraction form
    289.17/437.06 = 289.17/x
  3. Step 3: Cross multiply
    289.17x = 437.06 × 289.17
  4. Step 4: Simplify right side
    289.17x = 126,385.36
  5. Step 5: Solve for x
    x = 126,385.36/289.17
  6. Step 6: Final answer
    x = 437.06

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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.