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Finding the Fourth Proportional to 288.63, 430.54 and 261.27

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Solution

The fourth proportional to 288.63, 430.54 and 261.27 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 430.54 = 261.27 : x
  2. Step 2: Convert to fraction form
    288.63/430.54 = 261.27/x
  3. Step 3: Cross multiply
    288.63x = 430.54 × 261.27
  4. Step 4: Simplify right side
    288.63x = 112,486.53
  5. Step 5: Solve for x
    x = 112,486.53/288.63
  6. Step 6: Final answer
    x = 389.73

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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.