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Finding the Fourth Proportional to 289, 430.61 and 266.92

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Solution

The fourth proportional to 289, 430.61 and 266.92 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 430.61 = 266.92 : x
  2. Step 2: Convert to fraction form
    289/430.61 = 266.92/x
  3. Step 3: Cross multiply
    289x = 430.61 × 266.92
  4. Step 4: Simplify right side
    289x = 114,938.42
  5. Step 5: Solve for x
    x = 114,938.42/289
  6. Step 6: Final answer
    x = 397.71

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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.