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Finding the Fourth Proportional to 430.29, 646.67 and 286.92

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Solution

The fourth proportional to 430.29, 646.67 and 286.92 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.29 : 646.67 = 286.92 : x
  2. Step 2: Convert to fraction form
    430.29/646.67 = 286.92/x
  3. Step 3: Cross multiply
    430.29x = 646.67 × 286.92
  4. Step 4: Simplify right side
    430.29x = 185,541.12
  5. Step 5: Solve for x
    x = 185,541.12/430.29
  6. Step 6: Final answer
    x = 431.20

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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.