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Finding the Fourth Proportional to 289.68, 431.48 and 289.12

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Solution

The fourth proportional to 289.68, 431.48 and 289.12 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 431.48 = 289.12 : x
  2. Step 2: Convert to fraction form
    289.68/431.48 = 289.12/x
  3. Step 3: Cross multiply
    289.68x = 431.48 × 289.12
  4. Step 4: Simplify right side
    289.68x = 124,749.50
  5. Step 5: Solve for x
    x = 124,749.50/289.68
  6. Step 6: Final answer
    x = 430.65

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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.