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Finding the Fourth Proportional to 430.72, 646.46 and 276.28

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Solution

The fourth proportional to 430.72, 646.46 and 276.28 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 646.46 = 276.28 : x
  2. Step 2: Convert to fraction form
    430.72/646.46 = 276.28/x
  3. Step 3: Cross multiply
    430.72x = 646.46 × 276.28
  4. Step 4: Simplify right side
    430.72x = 178,603.97
  5. Step 5: Solve for x
    x = 178,603.97/430.72
  6. Step 6: Final answer
    x = 414.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.