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Finding the Fourth Proportional to 289.68, 432.42 and 262.40

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Solution

The fourth proportional to 289.68, 432.42 and 262.40 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 432.42 = 262.40 : x
  2. Step 2: Convert to fraction form
    289.68/432.42 = 262.40/x
  3. Step 3: Cross multiply
    289.68x = 432.42 × 262.40
  4. Step 4: Simplify right side
    289.68x = 113,467.01
  5. Step 5: Solve for x
    x = 113,467.01/289.68
  6. Step 6: Final answer
    x = 391.70

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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.