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Finding the Fourth Proportional to 289.10, 433.65 and 257.90

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Solution

The fourth proportional to 289.10, 433.65 and 257.90 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 433.65 = 257.90 : x
  2. Step 2: Convert to fraction form
    289.10/433.65 = 257.90/x
  3. Step 3: Cross multiply
    289.10x = 433.65 × 257.90
  4. Step 4: Simplify right side
    289.10x = 111,838.34
  5. Step 5: Solve for x
    x = 111,838.34/289.10
  6. Step 6: Final answer
    x = 386.85

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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.