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Finding the Fourth Proportional to 289.10, 431.86 and 260.16

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Solution

The fourth proportional to 289.10, 431.86 and 260.16 is: 388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 431.86 = 260.16 : x
  2. Step 2: Convert to fraction form
    289.10/431.86 = 260.16/x
  3. Step 3: Cross multiply
    289.10x = 431.86 × 260.16
  4. Step 4: Simplify right side
    289.10x = 112,351.40
  5. Step 5: Solve for x
    x = 112,351.40/289.10
  6. Step 6: Final answer
    x = 388.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.