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Finding the Fourth Proportional to 289.27, 435.93 and 260.42

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Solution

The fourth proportional to 289.27, 435.93 and 260.42 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 435.93 = 260.42 : x
  2. Step 2: Convert to fraction form
    289.27/435.93 = 260.42/x
  3. Step 3: Cross multiply
    289.27x = 435.93 × 260.42
  4. Step 4: Simplify right side
    289.27x = 113,522.71
  5. Step 5: Solve for x
    x = 113,522.71/289.27
  6. Step 6: Final answer
    x = 392.45

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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.