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Finding the Fourth Proportional to 288.40, 430.59 and 236.91

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Solution

The fourth proportional to 288.40, 430.59 and 236.91 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 430.59 = 236.91 : x
  2. Step 2: Convert to fraction form
    288.40/430.59 = 236.91/x
  3. Step 3: Cross multiply
    288.40x = 430.59 × 236.91
  4. Step 4: Simplify right side
    288.40x = 102,008.92
  5. Step 5: Solve for x
    x = 102,008.92/288.40
  6. Step 6: Final answer
    x = 353.71

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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.