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Finding the Fourth Proportional to 289.44, 431.16 and 288

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Solution

The fourth proportional to 289.44, 431.16 and 288 is: 429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 431.16 = 288 : x
  2. Step 2: Convert to fraction form
    289.44/431.16 = 288/x
  3. Step 3: Cross multiply
    289.44x = 431.16 × 288
  4. Step 4: Simplify right side
    289.44x = 124,174.08
  5. Step 5: Solve for x
    x = 124,174.08/289.44
  6. Step 6: Final answer
    x = 429.01

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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.