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Finding the Fourth Proportional to 288.29, 430.55 and 230.60

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Solution

The fourth proportional to 288.29, 430.55 and 230.60 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.29 : 430.55 = 230.60 : x
  2. Step 2: Convert to fraction form
    288.29/430.55 = 230.60/x
  3. Step 3: Cross multiply
    288.29x = 430.55 × 230.60
  4. Step 4: Simplify right side
    288.29x = 99,281.52
  5. Step 5: Solve for x
    x = 99,281.52/288.29
  6. Step 6: Final answer
    x = 344.39

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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.