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Finding the Fourth Proportional to 289.64, 432.40 and 251.42

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Solution

The fourth proportional to 289.64, 432.40 and 251.42 is: 375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 432.40 = 251.42 : x
  2. Step 2: Convert to fraction form
    289.64/432.40 = 251.42/x
  3. Step 3: Cross multiply
    289.64x = 432.40 × 251.42
  4. Step 4: Simplify right side
    289.64x = 108,714.01
  5. Step 5: Solve for x
    x = 108,714.01/289.64
  6. Step 6: Final answer
    x = 375.34

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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.