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Finding the Fourth Proportional to 430.73, 646.36 and 170.69

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Solution

The fourth proportional to 430.73, 646.36 and 170.69 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.73 : 646.36 = 170.69 : x
  2. Step 2: Convert to fraction form
    430.73/646.36 = 170.69/x
  3. Step 3: Cross multiply
    430.73x = 646.36 × 170.69
  4. Step 4: Simplify right side
    430.73x = 110,323.96
  5. Step 5: Solve for x
    x = 110,323.96/430.73
  6. Step 6: Final answer
    x = 256.13

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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.