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Finding the Fourth Proportional to 288.51, 430.48 and 271

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Solution

The fourth proportional to 288.51, 430.48 and 271 is: 404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 430.48 = 271 : x
  2. Step 2: Convert to fraction form
    288.51/430.48 = 271/x
  3. Step 3: Cross multiply
    288.51x = 430.48 × 271
  4. Step 4: Simplify right side
    288.51x = 116,660.08
  5. Step 5: Solve for x
    x = 116,660.08/288.51
  6. Step 6: Final answer
    x = 404.35

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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.