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Finding the Fourth Proportional to 288.76, 430.63 and 252.40

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Solution

The fourth proportional to 288.76, 430.63 and 252.40 is: 376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 430.63 = 252.40 : x
  2. Step 2: Convert to fraction form
    288.76/430.63 = 252.40/x
  3. Step 3: Cross multiply
    288.76x = 430.63 × 252.40
  4. Step 4: Simplify right side
    288.76x = 108,691.01
  5. Step 5: Solve for x
    x = 108,691.01/288.76
  6. Step 6: Final answer
    x = 376.41

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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.