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Finding the Fourth Proportional to 289.96, 432.65 and 262.60

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Solution

The fourth proportional to 289.96, 432.65 and 262.60 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 432.65 = 262.60 : x
  2. Step 2: Convert to fraction form
    289.96/432.65 = 262.60/x
  3. Step 3: Cross multiply
    289.96x = 432.65 × 262.60
  4. Step 4: Simplify right side
    289.96x = 113,613.89
  5. Step 5: Solve for x
    x = 113,613.89/289.96
  6. Step 6: Final answer
    x = 391.83

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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.